Atkin-Lehner |
2- 3- 7+ 19+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
112518ba |
Isogeny class |
Conductor |
112518 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-9594044851608 = -1 · 23 · 312 · 7 · 193 · 47 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -1 5 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-536,149235] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:387:1] |
Generators of the group modulo torsion |
j |
-23320116793/13160555352 |
j-invariant |
L |
10.152893597002 |
L(r)(E,1)/r! |
Ω |
0.58899588177228 |
Real period |
R |
2.8729384938896 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999488672 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37506b1 |
Quadratic twists by: -3 |