Atkin-Lehner |
2- 3+ 11- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
104346bl |
Isogeny class |
Conductor |
104346 |
Conductor |
∏ cp |
400 |
Product of Tamagawa factors cp |
deg |
409600 |
Modular degree for the optimal curve |
Δ |
1236654485332992 = 210 · 33 · 115 · 172 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 11- -2 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-26930,181809] |
[a1,a2,a3,a4,a6] |
Generators |
[-87:1407:1] |
Generators of the group modulo torsion |
j |
79993350826171875/45802017975296 |
j-invariant |
L |
9.817353843198 |
L(r)(E,1)/r! |
Ω |
0.41525046842308 |
Real period |
R |
0.23642005484492 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999911396 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104346c1 |
Quadratic twists by: -3 |