Atkin-Lehner |
2+ 3+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
87024w |
Isogeny class |
Conductor |
87024 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
302400 |
Modular degree for the optimal curve |
Δ |
-2166337861632 = -1 · 211 · 35 · 76 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7- 3 5 -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9816,-377712] |
[a1,a2,a3,a4,a6] |
Generators |
[340184:2940020:2197] |
Generators of the group modulo torsion |
j |
-434163602/8991 |
j-invariant |
L |
8.8845459618779 |
L(r)(E,1)/r! |
Ω |
0.23952428342691 |
Real period |
R |
9.2731161078099 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982522 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43512q1 1776d1 |
Quadratic twists by: -4 -7 |