Atkin-Lehner |
2- 3- 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
78498cc |
Isogeny class |
Conductor |
78498 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
29859840 |
Modular degree for the optimal curve |
Δ |
2816242636129022016 = 26 · 36 · 714 · 89 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 -4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4713806894,-124566621539587] |
[a1,a2,a3,a4,a6] |
Generators |
[-34625372678269962115708974606232536989977751319585038298735696734247878272:17309604795229744310859793860101770497853841176235214237024767718944433839:873518405607741461405206385436901649489314607670461534408542062116864] |
Generators of the group modulo torsion |
j |
135058930188560270934200713/32836306496 |
j-invariant |
L |
11.803186804806 |
L(r)(E,1)/r! |
Ω |
0.018220345497188 |
Real period |
R |
107.96709651332 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8722j1 11214m1 |
Quadratic twists by: -3 -7 |