Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
58800d |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15805440 |
Modular degree for the optimal curve |
Δ |
-6.8932161185423E+25 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 1 5 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,10269992,-399258621488] |
[a1,a2,a3,a4,a6] |
Generators |
[391610123625012154:14901994317847459950:53042943651517] |
Generators of the group modulo torsion |
j |
649381163998/373669453125 |
j-invariant |
L |
5.6265771921863 |
L(r)(E,1)/r! |
Ω |
0.028849662031083 |
Real period |
R |
24.378869612597 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29400bd1 11760bb1 58800cy1 |
Quadratic twists by: -4 5 -7 |