Atkin-Lehner |
2- 5- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
83810bo |
Isogeny class |
Conductor |
83810 |
Conductor |
∏ cp |
1380 |
Product of Tamagawa factors cp |
deg |
5166720 |
Modular degree for the optimal curve |
Δ |
-1.5485584382624E+21 |
Discriminant |
Eigenvalues |
2- -2 5- 1 1 1 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-13089105,-18326069975] |
[a1,a2,a3,a4,a6] |
Generators |
[4410:96395:1] |
Generators of the group modulo torsion |
j |
-2969326016627287928401/18540947046400000 |
j-invariant |
L |
7.8703291837229 |
L(r)(E,1)/r! |
Ω |
0.039671626088128 |
Real period |
R |
0.14375859143356 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005867 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83810v1 |
Quadratic twists by: 17 |