Atkin-Lehner |
2+ 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
71050be |
Isogeny class |
Conductor |
71050 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
91440 |
Modular degree for the optimal curve |
Δ |
1110156250 = 2 · 58 · 72 · 29 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- 4 0 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-14200,-657250] |
[a1,a2,a3,a4,a6] |
Generators |
[-4107831:2132437:59319] |
Generators of the group modulo torsion |
j |
16545519865/58 |
j-invariant |
L |
4.0131097658994 |
L(r)(E,1)/r! |
Ω |
0.43734440779778 |
Real period |
R |
9.1760857011142 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999976177 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71050bt1 71050ba1 |
Quadratic twists by: 5 -7 |