Atkin-Lehner |
3- 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
2379a |
Isogeny class |
Conductor |
2379 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
528 |
Modular degree for the optimal curve |
Δ |
-15608619 = -1 · 39 · 13 · 61 |
Discriminant |
Eigenvalues |
0 3- 3 -1 -6 13- 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-59,239] |
[a1,a2,a3,a4,a6] |
j |
-23100424192/15608619 |
j-invariant |
L |
2.0376736723983 |
L(r)(E,1)/r! |
Ω |
2.0376736723983 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
38064y1 7137f1 59475c1 116571c1 |
Quadratic twists by: -4 -3 5 -7 |