Atkin-Lehner |
2- 3+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
77064n |
Isogeny class |
Conductor |
77064 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-6034893339181824 = -1 · 28 · 32 · 1310 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -1 -1 -3 13+ 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-44841,-5212611] |
[a1,a2,a3,a4,a6] |
j |
-8069733376/4883931 |
j-invariant |
L |
1.2770459934661 |
L(r)(E,1)/r! |
Ω |
0.15963074839501 |
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 |
5928c1 |
Quadratic twists by: 13 |