Atkin-Lehner |
2- 3+ 7- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
128478cd |
Isogeny class |
Conductor |
128478 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
798720 |
Modular degree for the optimal curve |
Δ |
-5014896500662272 = -1 · 213 · 35 · 78 · 19 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,31947,2616795] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:812:1] |
Generators of the group modulo torsion |
j |
30649603997375/42625916928 |
j-invariant |
L |
9.9240212694462 |
L(r)(E,1)/r! |
Ω |
0.29176632091191 |
Real period |
R |
1.308215166892 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999880194 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18354x1 |
Quadratic twists by: -7 |