Atkin-Lehner |
3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
61347f |
Isogeny class |
Conductor |
61347 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
282240 |
Modular degree for the optimal curve |
Δ |
-79227685494243 = -1 · 37 · 118 · 132 |
Discriminant |
Eigenvalues |
0 3+ -2 -3 11- 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-197149,-33630114] |
[a1,a2,a3,a4,a6] |
j |
-2830523957248/264627 |
j-invariant |
L |
0.22656785724804 |
L(r)(E,1)/r! |
Ω |
0.11328392682616 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5577b1 61347b1 |
Quadratic twists by: -11 13 |