Atkin-Lehner |
2- 3+ 7- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
100254bw |
Isogeny class |
Conductor |
100254 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
4003486291728 = 24 · 34 · 77 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11- -6 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-27392,-1753711] |
[a1,a2,a3,a4,a6] |
Generators |
[251:2569:1] |
Generators of the group modulo torsion |
j |
19320025351537/34029072 |
j-invariant |
L |
10.082915914635 |
L(r)(E,1)/r! |
Ω |
0.37114147033524 |
Real period |
R |
1.697956963223 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012189 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14322j1 |
Quadratic twists by: -7 |