Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
101640cp |
Isogeny class |
Conductor |
101640 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-3105700062769920 = -1 · 28 · 3 · 5 · 73 · 119 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -6 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-53401,5436539] |
[a1,a2,a3,a4,a6] |
Generators |
[337:5082:1] |
Generators of the group modulo torsion |
j |
-37135043584/6847995 |
j-invariant |
L |
7.9157297461393 |
L(r)(E,1)/r! |
Ω |
0.43163033059455 |
Real period |
R |
1.5282617936558 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034578 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9240m1 |
Quadratic twists by: -11 |