Atkin-Lehner |
2- 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
71400ct |
Isogeny class |
Conductor |
71400 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
3870720 |
Modular degree for the optimal curve |
Δ |
2.3066396214258E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11762283,-15350104188] |
[a1,a2,a3,a4,a6] |
j |
719877522386433132544/9226558485703125 |
j-invariant |
L |
1.9580537338435 |
L(r)(E,1)/r! |
Ω |
0.081585572562529 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14280m1 |
Quadratic twists by: 5 |