Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122304fe |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10838016 |
Modular degree for the optimal curve |
Δ |
-9.243076492652E+22 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 5 13+ 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2239039,-14571166623] |
[a1,a2,a3,a4,a6] |
Generators |
[61138028891:3403559552764:16974593] |
Generators of the group modulo torsion |
j |
40251338884511/2997011332224 |
j-invariant |
L |
5.5645118671033 |
L(r)(E,1)/r! |
Ω |
0.051000465510679 |
Real period |
R |
13.638384991648 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122304dd1 30576cu1 17472cs1 |
Quadratic twists by: -4 8 -7 |