Atkin-Lehner |
3- 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
78033b |
Isogeny class |
Conductor |
78033 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
146246405313 = 3 · 19 · 376 |
Discriminant |
Eigenvalues |
-1 3- 2 0 0 -6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2082,-31773] |
[a1,a2,a3,a4,a6] |
Generators |
[-907638109:1285692932:27270901] |
Generators of the group modulo torsion |
j |
389017/57 |
j-invariant |
L |
5.3601125184429 |
L(r)(E,1)/r! |
Ω |
0.71369037792403 |
Real period |
R |
15.020834480324 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998963 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57b2 |
Quadratic twists by: 37 |