Atkin-Lehner |
2- 3+ 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
70800bw |
Isogeny class |
Conductor |
70800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
227328 |
Modular degree for the optimal curve |
Δ |
-815616000 = -1 · 212 · 33 · 53 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5- -5 -2 -5 -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-77968,8405632] |
[a1,a2,a3,a4,a6] |
Generators |
[162:-10:1] |
Generators of the group modulo torsion |
j |
-102378438997541/1593 |
j-invariant |
L |
2.3519304668262 |
L(r)(E,1)/r! |
Ω |
1.1316206291101 |
Real period |
R |
0.51959340603478 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999946936 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4425n1 70800db1 |
Quadratic twists by: -4 5 |