Atkin-Lehner |
3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
61605g |
Isogeny class |
Conductor |
61605 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
576969328125 = 36 · 56 · 373 |
Discriminant |
Eigenvalues |
0 3- 5+ 1 -3 0 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3108,-55787] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:92:1] |
Generators of the group modulo torsion |
j |
89915392/15625 |
j-invariant |
L |
5.2526797511503 |
L(r)(E,1)/r! |
Ω |
0.64700643931227 |
Real period |
R |
2.0296087611525 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000284 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6845e1 61605m1 |
Quadratic twists by: -3 37 |