Atkin-Lehner |
7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
77077a |
Isogeny class |
Conductor |
77077 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
81000 |
Modular degree for the optimal curve |
Δ |
-55295733493 = -1 · 74 · 116 · 13 |
Discriminant |
Eigenvalues |
-1 0 0 7+ 11- 13- -7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12970,-565386] |
[a1,a2,a3,a4,a6] |
Generators |
[282:4118:1] |
Generators of the group modulo torsion |
j |
-56723625/13 |
j-invariant |
L |
3.0556107229572 |
L(r)(E,1)/r! |
Ω |
0.22368208895504 |
Real period |
R |
4.553502304421 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001354 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77077n1 637a1 |
Quadratic twists by: -7 -11 |