Atkin-Lehner |
2+ 5+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
71390c |
Isogeny class |
Conductor |
71390 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
374400 |
Modular degree for the optimal curve |
Δ |
-10853574760160 = -1 · 25 · 5 · 117 · 592 |
Discriminant |
Eigenvalues |
2+ 3 5+ -3 11- 2 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-16660,846896] |
[a1,a2,a3,a4,a6] |
Generators |
[1929:-4534:27] |
Generators of the group modulo torsion |
j |
-288673724529/6126560 |
j-invariant |
L |
7.3415402509258 |
L(r)(E,1)/r! |
Ω |
0.71979951215472 |
Real period |
R |
1.2749279705255 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001624 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6490f1 |
Quadratic twists by: -11 |