Atkin-Lehner |
2+ 7- 23+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
105616h |
Isogeny class |
Conductor |
105616 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4463616 |
Modular degree for the optimal curve |
Δ |
46029317684525056 = 211 · 7 · 238 · 41 |
Discriminant |
Eigenvalues |
2+ -3 3 7- -2 -4 7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3186091,2188923322] |
[a1,a2,a3,a4,a6] |
Generators |
[10873:1119364:1] |
Generators of the group modulo torsion |
j |
1746498782584361784834/22475252775647 |
j-invariant |
L |
4.6357291195738 |
L(r)(E,1)/r! |
Ω |
0.32675591941081 |
Real period |
R |
1.7733913945501 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000074987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52808f1 |
Quadratic twists by: -4 |