Atkin-Lehner |
2+ 3- 19- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
127794u |
Isogeny class |
Conductor |
127794 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-3197614439808 = -1 · 27 · 32 · 196 · 59 |
Discriminant |
Eigenvalues |
2+ 3- -4 -1 -3 1 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1813,-91168] |
[a1,a2,a3,a4,a6] |
Generators |
[144:1552:1] |
Generators of the group modulo torsion |
j |
-13997521/67968 |
j-invariant |
L |
2.9466415238587 |
L(r)(E,1)/r! |
Ω |
0.3307597017285 |
Real period |
R |
2.2271769240528 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000079662 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
354f1 |
Quadratic twists by: -19 |