Atkin-Lehner |
2+ 3- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
103968s |
Isogeny class |
Conductor |
103968 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
525312 |
Modular degree for the optimal curve |
Δ |
-2377155351722688 = -1 · 26 · 37 · 198 |
Discriminant |
Eigenvalues |
2+ 3- -4 -1 2 -1 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20577,-2606420] |
[a1,a2,a3,a4,a6] |
j |
-1216/3 |
j-invariant |
L |
0.7429798287053 |
L(r)(E,1)/r! |
Ω |
0.18574496577048 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103968bq1 34656bc1 103968cm1 |
Quadratic twists by: -4 -3 -19 |