Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
92400hz |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
4092095700000000 = 28 · 312 · 58 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- 1 -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-102333,-12252537] |
[a1,a2,a3,a4,a6] |
Generators |
[-201:486:1] |
Generators of the group modulo torsion |
j |
1185154785280/40920957 |
j-invariant |
L |
8.0587440124034 |
L(r)(E,1)/r! |
Ω |
0.26749479079533 |
Real period |
R |
1.2552805231645 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999875947 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23100o1 92400ei1 |
Quadratic twists by: -4 5 |