Atkin-Lehner |
2- 3+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
77616cv |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1244160 |
Modular degree for the optimal curve |
Δ |
-5008873061235326976 = -1 · 215 · 33 · 74 · 119 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ 11+ 2 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-555219,192226706] |
[a1,a2,a3,a4,a6] |
j |
-71285434106859/18863581528 |
j-invariant |
L |
1.8466727179335 |
L(r)(E,1)/r! |
Ω |
0.23083409251405 |
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 |
9702d1 77616da2 77616dl1 |
Quadratic twists by: -4 -3 -7 |