Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800ek |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
31933440 |
Modular degree for the optimal curve |
Δ |
-3.6630931254482E+27 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -2 3 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,242147792,2525136209588] |
[a1,a2,a3,a4,a6] |
j |
16683494528422270/38919722282469 |
j-invariant |
L |
4.4440212338161 |
L(r)(E,1)/r! |
Ω |
0.030861258570769 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29400di1 58800x1 8400o1 |
Quadratic twists by: -4 5 -7 |