Atkin-Lehner |
2- 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
76532c |
Isogeny class |
Conductor |
76532 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
81000 |
Modular degree for the optimal curve |
Δ |
-638318513408 = -1 · 28 · 196 · 53 |
Discriminant |
Eigenvalues |
2- 1 -2 -2 2 7 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1564,-45740] |
[a1,a2,a3,a4,a6] |
Generators |
[1705988583:31900117172:4826809] |
Generators of the group modulo torsion |
j |
-35152/53 |
j-invariant |
L |
5.8360236820324 |
L(r)(E,1)/r! |
Ω |
0.36026114629696 |
Real period |
R |
16.199425723226 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002794 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
212a1 |
Quadratic twists by: -19 |