Atkin-Lehner |
3+ 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
7725d |
Isogeny class |
Conductor |
7725 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
528 |
Modular degree for the optimal curve |
Δ |
-23175 = -1 · 32 · 52 · 103 |
Discriminant |
Eigenvalues |
1 3+ 5+ 1 2 5 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-20,-45] |
[a1,a2,a3,a4,a6] |
j |
-38226865/927 |
j-invariant |
L |
2.2398987677349 |
L(r)(E,1)/r! |
Ω |
1.1199493838674 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123600bu1 23175n1 7725o1 |
Quadratic twists by: -4 -3 5 |