Atkin-Lehner |
2+ 3- 5- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
113760r |
Isogeny class |
Conductor |
113760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
69632 |
Modular degree for the optimal curve |
Δ |
-4367701440 = -1 · 26 · 37 · 5 · 792 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 2 -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-57,-3184] |
[a1,a2,a3,a4,a6] |
Generators |
[290:1647:8] |
Generators of the group modulo torsion |
j |
-438976/93615 |
j-invariant |
L |
5.0818223804924 |
L(r)(E,1)/r! |
Ω |
0.61621139540272 |
Real period |
R |
4.1234407097825 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000144085 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113760v1 37920k1 |
Quadratic twists by: -4 -3 |