Atkin-Lehner |
2- 7- 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
112784u |
Isogeny class |
Conductor |
112784 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
246528 |
Modular degree for the optimal curve |
Δ |
-41692184576 = -1 · 214 · 7 · 193 · 53 |
Discriminant |
Eigenvalues |
2- 3 -2 7- 4 1 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9931,381050] |
[a1,a2,a3,a4,a6] |
j |
-26444947540257/10178756 |
j-invariant |
L |
6.7454310715324 |
L(r)(E,1)/r! |
Ω |
1.1242382324421 |
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 |
14098d1 |
Quadratic twists by: -4 |