Atkin-Lehner |
2- 7- 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
103334be |
Isogeny class |
Conductor |
103334 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-16295358464 = -1 · 212 · 72 · 113 · 61 |
Discriminant |
Eigenvalues |
2- 0 2 7- 11+ 6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1629,-25627] |
[a1,a2,a3,a4,a6] |
Generators |
[61:284:1] |
Generators of the group modulo torsion |
j |
-358970654043/12242944 |
j-invariant |
L |
12.711755238022 |
L(r)(E,1)/r! |
Ω |
0.37500753149645 |
Real period |
R |
2.8247777635916 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003317 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103334a1 |
Quadratic twists by: -11 |