Atkin-Lehner |
5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
5425j |
Isogeny class |
Conductor |
5425 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3600 |
Modular degree for the optimal curve |
Δ |
-4153515625 = -1 · 58 · 73 · 31 |
Discriminant |
Eigenvalues |
1 2 5- 7+ -4 3 5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-450,4625] |
[a1,a2,a3,a4,a6] |
Generators |
[104:995:1] |
Generators of the group modulo torsion |
j |
-25888585/10633 |
j-invariant |
L |
6.1147761220903 |
L(r)(E,1)/r! |
Ω |
1.3005868389233 |
Real period |
R |
4.7015515912435 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86800cq1 48825bs1 5425g1 37975m1 |
Quadratic twists by: -4 -3 5 -7 |