Atkin-Lehner |
2+ 3+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
87024x |
Isogeny class |
Conductor |
87024 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
39806458207488 = 28 · 36 · 78 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7- 4 -2 -8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-473356,125509168] |
[a1,a2,a3,a4,a6] |
Generators |
[2826:12005:8] |
Generators of the group modulo torsion |
j |
389457510402256/1321677 |
j-invariant |
L |
7.6191781152781 |
L(r)(E,1)/r! |
Ω |
0.56492092023395 |
Real period |
R |
3.3717896783646 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004633 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43512bo2 12432u2 |
Quadratic twists by: -4 -7 |