Atkin-Lehner |
2- 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
55594h |
Isogeny class |
Conductor |
55594 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
246240 |
Modular degree for the optimal curve |
Δ |
-2050527467318176 = -1 · 25 · 73 · 11 · 198 |
Discriminant |
Eigenvalues |
2- 0 -2 7+ 11- -4 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,13289,2094031] |
[a1,a2,a3,a4,a6] |
Generators |
[271:4918:1] |
Generators of the group modulo torsion |
j |
15282783/120736 |
j-invariant |
L |
6.0163155063704 |
L(r)(E,1)/r! |
Ω |
0.33950247649478 |
Real period |
R |
1.1813984527164 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55594d1 |
Quadratic twists by: -19 |