Atkin-Lehner |
2+ 3+ 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
5934a |
Isogeny class |
Conductor |
5934 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-55685772149796 = -1 · 22 · 37 · 236 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -1 3 5 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1898,358408] |
[a1,a2,a3,a4,a6] |
Generators |
[84:1016:1] |
Generators of the group modulo torsion |
j |
755535301286039/55685772149796 |
j-invariant |
L |
2.7973581806373 |
L(r)(E,1)/r! |
Ω |
0.47977516618224 |
Real period |
R |
0.48588004997163 |
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 |
47472g1 17802q1 |
Quadratic twists by: -4 -3 |