Atkin-Lehner |
2+ 31+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
84878b |
Isogeny class |
Conductor |
84878 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
117504 |
Modular degree for the optimal curve |
Δ |
-5178573819904 = -1 · 212 · 314 · 372 |
Discriminant |
Eigenvalues |
2+ 2 -1 -2 0 2 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-398,109364] |
[a1,a2,a3,a4,a6] |
Generators |
[265:4192:1] |
Generators of the group modulo torsion |
j |
-5112971281/3782742016 |
j-invariant |
L |
5.5859766064526 |
L(r)(E,1)/r! |
Ω |
0.61902886706976 |
Real period |
R |
2.255943504885 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999972131 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84878k1 |
Quadratic twists by: 37 |