Atkin-Lehner |
2- 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
80850fx |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
deg |
15925248 |
Modular degree for the optimal curve |
Δ |
1.0355058385056E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-351003563,-2531164738383] |
[a1,a2,a3,a4,a6] |
j |
2601656892010848045529/56330588160 |
j-invariant |
L |
5.0226644518479 |
L(r)(E,1)/r! |
Ω |
0.034879614312138 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170m1 11550bk1 |
Quadratic twists by: 5 -7 |