Atkin-Lehner |
2- 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
88412b |
Isogeny class |
Conductor |
88412 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2649600 |
Modular degree for the optimal curve |
Δ |
-2.1505734845117E+20 |
Discriminant |
Eigenvalues |
2- -2 3 1 -2 0 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1166974,855915789] |
[a1,a2,a3,a4,a6] |
Generators |
[8425:767533:1] |
Generators of the group modulo torsion |
j |
-12377059508992/15144820879 |
j-invariant |
L |
4.8298498258074 |
L(r)(E,1)/r! |
Ω |
0.1605609826643 |
Real period |
R |
7.5202732092089 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000064 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2852b1 |
Quadratic twists by: -31 |