Atkin-Lehner |
2- 5- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
71390p |
Isogeny class |
Conductor |
71390 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
57120 |
Modular degree for the optimal curve |
Δ |
-20904419800 = -1 · 23 · 52 · 116 · 59 |
Discriminant |
Eigenvalues |
2- 0 5- -1 11- 7 -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,98,-6971] |
[a1,a2,a3,a4,a6] |
Generators |
[67:511:1] |
Generators of the group modulo torsion |
j |
59319/11800 |
j-invariant |
L |
10.64678900963 |
L(r)(E,1)/r! |
Ω |
0.5712590898122 |
Real period |
R |
3.1062347476418 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001451 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
590c1 |
Quadratic twists by: -11 |