Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360gl |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
45056 |
Modular degree for the optimal curve |
Δ |
117411840 = 212 · 32 · 5 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 13- -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-761,7815] |
[a1,a2,a3,a4,a6] |
Generators |
[1:84:1] |
Generators of the group modulo torsion |
j |
11914842304/28665 |
j-invariant |
L |
6.8083117904675 |
L(r)(E,1)/r! |
Ω |
1.8714702270299 |
Real period |
R |
0.90948705497611 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013865 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360ei1 43680h1 |
Quadratic twists by: -4 8 |