Atkin-Lehner |
2+ 3- 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
95370bi |
Isogeny class |
Conductor |
95370 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
391680 |
Modular degree for the optimal curve |
Δ |
-78267998488020 = -1 · 22 · 3 · 5 · 11 · 179 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 11+ 1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,10542,87976] |
[a1,a2,a3,a4,a6] |
Generators |
[67:1013:1] |
Generators of the group modulo torsion |
j |
1092727/660 |
j-invariant |
L |
6.9603708784376 |
L(r)(E,1)/r! |
Ω |
0.37480135324946 |
Real period |
R |
4.6427066137255 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999887641 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95370f1 |
Quadratic twists by: 17 |