Atkin-Lehner |
2+ 3- 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
41328j |
Isogeny class |
Conductor |
41328 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
698880 |
Modular degree for the optimal curve |
Δ |
-2249988614350848 = -1 · 211 · 313 · 75 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ -3 4 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8569875,-9656280142] |
[a1,a2,a3,a4,a6] |
Generators |
[3671316544:424093672593:262144] |
Generators of the group modulo torsion |
j |
-46621870486238281250/1507033269 |
j-invariant |
L |
5.2793489927322 |
L(r)(E,1)/r! |
Ω |
0.044119028054338 |
Real period |
R |
14.957687265429 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20664h1 13776a1 |
Quadratic twists by: -4 -3 |