Atkin-Lehner |
2- 5- 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
69680bg |
Isogeny class |
Conductor |
69680 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-7654348000000 = -1 · 28 · 56 · 134 · 67 |
Discriminant |
Eigenvalues |
2- 0 5- 2 6 13- -7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1648,-130596] |
[a1,a2,a3,a4,a6] |
Generators |
[53:325:1] |
Generators of the group modulo torsion |
j |
1933549830144/29899796875 |
j-invariant |
L |
7.8417287500676 |
L(r)(E,1)/r! |
Ω |
0.36214988821399 |
Real period |
R |
0.45110975949592 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991463 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17420i1 |
Quadratic twists by: -4 |