Atkin-Lehner |
2+ 3+ 11- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
58344b |
Isogeny class |
Conductor |
58344 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
3704832 |
Modular degree for the optimal curve |
Δ |
2.2303086865697E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 11- 13- 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8843367,-7126657668] |
[a1,a2,a3,a4,a6] |
j |
4780317300004724587829248/1393942929106031774613 |
j-invariant |
L |
1.6110621099052 |
L(r)(E,1)/r! |
Ω |
0.08950345039861 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
116688f1 |
Quadratic twists by: -4 |