Atkin-Lehner |
3- 5+ 7+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
107415l |
Isogeny class |
Conductor |
107415 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1218560 |
Modular degree for the optimal curve |
Δ |
182064626738465625 = 320 · 55 · 72 · 11 · 31 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 11- -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-153878,-10840044] |
[a1,a2,a3,a4,a6] |
Generators |
[-94:1716:1] |
Generators of the group modulo torsion |
j |
552742854367881241/249745715690625 |
j-invariant |
L |
1.9440323313191 |
L(r)(E,1)/r! |
Ω |
0.25150496778847 |
Real period |
R |
3.8647991328737 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998378342 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35805e1 |
Quadratic twists by: -3 |