Atkin-Lehner |
2+ 3- 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
103320m |
Isogeny class |
Conductor |
103320 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
10293771600 = 24 · 37 · 52 · 7 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -2 -6 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-678,-4727] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:36:1] [-16:45:1] |
Generators of the group modulo torsion |
j |
2955053056/882525 |
j-invariant |
L |
10.569899917791 |
L(r)(E,1)/r! |
Ω |
0.95717632747587 |
Real period |
R |
1.380349107833 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000407 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34440z1 |
Quadratic twists by: -3 |