Atkin-Lehner |
2+ 3+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
87024x |
Isogeny class |
Conductor |
87024 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
-167058122060592 = -1 · 24 · 33 · 710 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7- 4 -2 -8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-29171,2025738] |
[a1,a2,a3,a4,a6] |
Generators |
[35686:111740:343] |
Generators of the group modulo torsion |
j |
-1458425767936/88748163 |
j-invariant |
L |
7.6191781152781 |
L(r)(E,1)/r! |
Ω |
0.56492092023395 |
Real period |
R |
6.7435793567292 |
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 |
43512bo1 12432u1 |
Quadratic twists by: -4 -7 |