Atkin-Lehner |
2- 3- 7+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
113652l |
Isogeny class |
Conductor |
113652 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
927360 |
Modular degree for the optimal curve |
Δ |
-127380214791100656 = -1 · 24 · 311 · 77 · 113 · 41 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 11- 6 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,97323,12581557] |
[a1,a2,a3,a4,a6] |
j |
8740226033182976/10920800307879 |
j-invariant |
L |
3.9808430874352 |
L(r)(E,1)/r! |
Ω |
0.22115793314425 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37884k1 |
Quadratic twists by: -3 |