Atkin-Lehner |
2+ 3+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
112608b |
Isogeny class |
Conductor |
112608 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
12496785408 = 212 · 33 · 173 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 0 1 -2 -1 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12840,559984] |
[a1,a2,a3,a4,a6] |
Generators |
[68:36:1] [36:380:1] |
Generators of the group modulo torsion |
j |
2116874304000/112999 |
j-invariant |
L |
12.124222990192 |
L(r)(E,1)/r! |
Ω |
1.195323352341 |
Real period |
R |
2.5357621785713 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999984122 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112608y1 112608bc1 |
Quadratic twists by: -4 -3 |