Atkin-Lehner |
2- 5+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
58960l |
Isogeny class |
Conductor |
58960 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
23616 |
Modular degree for the optimal curve |
Δ |
-2389943600 = -1 · 24 · 52 · 113 · 672 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 11- -6 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,332,-333] |
[a1,a2,a3,a4,a6] |
Generators |
[269:4422:1] |
Generators of the group modulo torsion |
j |
252940271616/149371475 |
j-invariant |
L |
4.9162869483544 |
L(r)(E,1)/r! |
Ω |
0.85121420099471 |
Real period |
R |
1.9252055642759 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998317 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14740a1 |
Quadratic twists by: -4 |