Atkin-Lehner |
2- 3- 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
110448bj |
Isogeny class |
Conductor |
110448 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-476146783247616 = -1 · 28 · 315 · 133 · 59 |
Discriminant |
Eigenvalues |
2- 3- -3 4 1 13+ 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,17241,-585614] |
[a1,a2,a3,a4,a6] |
Generators |
[7130:602154:1] |
Generators of the group modulo torsion |
j |
3036991483568/2551369509 |
j-invariant |
L |
6.1648288475749 |
L(r)(E,1)/r! |
Ω |
0.29023672441028 |
Real period |
R |
5.310172966931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025432 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27612e1 36816s1 |
Quadratic twists by: -4 -3 |