Atkin-Lehner |
2- 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
110352bz |
Isogeny class |
Conductor |
110352 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
12811979946196992 = 220 · 3 · 118 · 19 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11- 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-288504,59300052] |
[a1,a2,a3,a4,a6] |
j |
365986170577/1765632 |
j-invariant |
L |
3.2108257822467 |
L(r)(E,1)/r! |
Ω |
0.40135319584943 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13794i1 10032o1 |
Quadratic twists by: -4 -11 |