Atkin-Lehner |
2+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
71050x |
Isogeny class |
Conductor |
71050 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-3734565625000000 = -1 · 26 · 511 · 72 · 293 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- -3 2 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,10124,-2913102] |
[a1,a2,a3,a4,a6] |
Generators |
[1737:71631:1] |
Generators of the group modulo torsion |
j |
149908300031/4877800000 |
j-invariant |
L |
3.0880110429587 |
L(r)(E,1)/r! |
Ω |
0.21323141433793 |
Real period |
R |
0.60341543577174 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989896 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14210t1 71050g1 |
Quadratic twists by: 5 -7 |