Atkin-Lehner |
2+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
71050v |
Isogeny class |
Conductor |
71050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-668716916000000 = -1 · 28 · 56 · 78 · 29 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- -1 -1 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-124975,-17102875] |
[a1,a2,a3,a4,a6] |
Generators |
[8126:727801:1] |
Generators of the group modulo torsion |
j |
-117433042273/363776 |
j-invariant |
L |
2.8918361677526 |
L(r)(E,1)/r! |
Ω |
0.12693540071119 |
Real period |
R |
5.6954879236691 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001404 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2842f1 10150e1 |
Quadratic twists by: 5 -7 |