Atkin-Lehner |
2- 7- 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
51646bd |
Isogeny class |
Conductor |
51646 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-100693999616 = -1 · 215 · 73 · 172 · 31 |
Discriminant |
Eigenvalues |
2- -1 -3 7- 0 -4 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2087,38877] |
[a1,a2,a3,a4,a6] |
Generators |
[27:42:1] [-21:282:1] |
Generators of the group modulo torsion |
j |
-2930960362231/293568512 |
j-invariant |
L |
9.7650458707229 |
L(r)(E,1)/r! |
Ω |
1.0372324372398 |
Real period |
R |
0.15690867222115 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51646z1 |
Quadratic twists by: -7 |