Atkin-Lehner |
5- 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
61985q |
Isogeny class |
Conductor |
61985 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
47616 |
Modular degree for the optimal curve |
Δ |
-343048234375 = -1 · 56 · 73 · 112 · 232 |
Discriminant |
Eigenvalues |
-1 0 5- 7- 11- -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1688,8586] |
[a1,a2,a3,a4,a6] |
Generators |
[6:134:1] |
Generators of the group modulo torsion |
j |
1551629757033/1000140625 |
j-invariant |
L |
3.5733409058946 |
L(r)(E,1)/r! |
Ω |
0.59892916450622 |
Real period |
R |
0.49718468637249 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000342 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61985i1 |
Quadratic twists by: -7 |