Atkin-Lehner |
3- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
43245g |
Isogeny class |
Conductor |
43245 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
654720 |
Modular degree for the optimal curve |
Δ |
2266306329143412405 = 312 · 5 · 318 |
Discriminant |
Eigenvalues |
0 3- 5- -4 -3 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-357492,39018762] |
[a1,a2,a3,a4,a6] |
Generators |
[0:6246:1] |
Generators of the group modulo torsion |
j |
8126464/3645 |
j-invariant |
L |
2.6073049948617 |
L(r)(E,1)/r! |
Ω |
0.23293888879087 |
Real period |
R |
1.8655143189384 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14415d1 43245j1 |
Quadratic twists by: -3 -31 |