Atkin-Lehner |
7- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
36113h |
Isogeny class |
Conductor |
36113 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-518063969443867 = -1 · 76 · 114 · 673 |
Discriminant |
Eigenvalues |
-2 -2 2 7- 11- 2 -7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,19878,195444] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:368:1] [9:612:1] |
Generators of the group modulo torsion |
j |
7382979842048/4403471083 |
j-invariant |
L |
3.8356467044804 |
L(r)(E,1)/r! |
Ω |
0.31877485734888 |
Real period |
R |
0.50135262867297 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
737a1 |
Quadratic twists by: -7 |