Atkin-Lehner |
2- 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
110352by |
Isogeny class |
Conductor |
110352 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
760320 |
Modular degree for the optimal curve |
Δ |
-24322743179108352 = -1 · 213 · 36 · 118 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 3 11- 7 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5768,-7499692] |
[a1,a2,a3,a4,a6] |
j |
24167/27702 |
j-invariant |
L |
6.3451325793564 |
L(r)(E,1)/r! |
Ω |
0.17625369560013 |
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 |
13794h1 110352cj1 |
Quadratic twists by: -4 -11 |