Atkin-Lehner |
3+ 5+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
8715c |
Isogeny class |
Conductor |
8715 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
10895798025 = 37 · 52 · 74 · 83 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 0 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-94558,-11231177] |
[a1,a2,a3,a4,a6] |
Generators |
[25518:724061:27] |
Generators of the group modulo torsion |
j |
93503038071221809129/10895798025 |
j-invariant |
L |
3.7880832854814 |
L(r)(E,1)/r! |
Ω |
0.27225407586623 |
Real period |
R |
6.9568899444919 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26145o1 43575l1 61005v1 |
Quadratic twists by: -3 5 -7 |