Atkin-Lehner |
5+ 11- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
120175g |
Isogeny class |
Conductor |
120175 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
216960 |
Modular degree for the optimal curve |
Δ |
891923828125 = 510 · 11 · 192 · 23 |
Discriminant |
Eigenvalues |
2 1 5+ 3 11- 0 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-5208,135619] |
[a1,a2,a3,a4,a6] |
j |
1600000000/91333 |
j-invariant |
L |
6.9847936862503 |
L(r)(E,1)/r! |
Ω |
0.87309945810556 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120175p1 |
Quadratic twists by: 5 |