Atkin-Lehner |
2- 3+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
75810cc |
Isogeny class |
Conductor |
75810 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
5806080 |
Modular degree for the optimal curve |
Δ |
-1.3455840325319E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1249594,-5554540861] |
[a1,a2,a3,a4,a6] |
Generators |
[69937:18462671:1] |
Generators of the group modulo torsion |
j |
4586790226340951/286015269335040 |
j-invariant |
L |
7.7855040537337 |
L(r)(E,1)/r! |
Ω |
0.060021033757133 |
Real period |
R |
5.4047053496087 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000083 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3990l1 |
Quadratic twists by: -19 |