Atkin-Lehner |
2- 3- 43- 47- |
Signs for the Atkin-Lehner involutions |
Class |
97008bd |
Isogeny class |
Conductor |
97008 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
570240 |
Modular degree for the optimal curve |
Δ |
5406061824 = 28 · 35 · 432 · 47 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 -3 -4 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-586757,172800351] |
[a1,a2,a3,a4,a6] |
Generators |
[463:774:1] |
Generators of the group modulo torsion |
j |
87268864516090298368/21117429 |
j-invariant |
L |
3.3726246445282 |
L(r)(E,1)/r! |
Ω |
0.79753534279351 |
Real period |
R |
0.21144045005328 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024477 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24252b1 |
Quadratic twists by: -4 |