Atkin-Lehner |
2- 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
71050bm |
Isogeny class |
Conductor |
71050 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
1267200 |
Modular degree for the optimal curve |
Δ |
-2653408876562500000 = -1 · 25 · 511 · 74 · 294 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ -1 5 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,124312,76544992] |
[a1,a2,a3,a4,a6] |
Generators |
[172:-10236:1] |
Generators of the group modulo torsion |
j |
5663050947239/70728100000 |
j-invariant |
L |
7.2680478622426 |
L(r)(E,1)/r! |
Ω |
0.18920864349119 |
Real period |
R |
0.32010728683893 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000702 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14210e1 71050cb1 |
Quadratic twists by: 5 -7 |