Atkin-Lehner |
5- 43- 67- |
Signs for the Atkin-Lehner involutions |
Class |
72025d |
Isogeny class |
Conductor |
72025 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4576 |
Modular degree for the optimal curve |
Δ |
360125 = 53 · 43 · 67 |
Discriminant |
Eigenvalues |
0 0 5- -2 -2 -3 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-20,-19] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:11:8] [-1:0:1] |
Generators of the group modulo torsion |
j |
7077888/2881 |
j-invariant |
L |
7.6627256030046 |
L(r)(E,1)/r! |
Ω |
2.339291378622 |
Real period |
R |
1.6378305141976 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999895 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72025c1 |
Quadratic twists by: 5 |