Atkin-Lehner |
2- 3- 19- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
61104u |
Isogeny class |
Conductor |
61104 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-77911780491264 = -1 · 230 · 3 · 192 · 67 |
Discriminant |
Eigenvalues |
2- 3- -1 -3 2 0 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,6064,-381804] |
[a1,a2,a3,a4,a6] |
j |
6019628941871/19021430784 |
j-invariant |
L |
1.2492661006512 |
L(r)(E,1)/r! |
Ω |
0.31231652523937 |
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 |
7638f1 |
Quadratic twists by: -4 |