Atkin-Lehner |
2- 31- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
90334o |
Isogeny class |
Conductor |
90334 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-166850692028 = -1 · 22 · 316 · 47 |
Discriminant |
Eigenvalues |
2- 0 0 0 -2 4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,300,19475] |
[a1,a2,a3,a4,a6] |
Generators |
[-1621695:53006803:389017] |
Generators of the group modulo torsion |
j |
3375/188 |
j-invariant |
L |
9.2947330403829 |
L(r)(E,1)/r! |
Ω |
0.77557128812744 |
Real period |
R |
11.984369676172 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014243 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94a1 |
Quadratic twists by: -31 |