Atkin-Lehner |
2- 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
87024ec |
Isogeny class |
Conductor |
87024 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
108864 |
Modular degree for the optimal curve |
Δ |
-3851267309568 = -1 · 215 · 33 · 76 · 37 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -3 1 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1552,-90924] |
[a1,a2,a3,a4,a6] |
Generators |
[34:48:1] |
Generators of the group modulo torsion |
j |
857375/7992 |
j-invariant |
L |
7.5656609460678 |
L(r)(E,1)/r! |
Ω |
0.38797971406934 |
Real period |
R |
1.6250121402133 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997855 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10878bh1 1776g1 |
Quadratic twists by: -4 -7 |