Atkin-Lehner |
5- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
121835h |
Isogeny class |
Conductor |
121835 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
90240 |
Modular degree for the optimal curve |
Δ |
-424107635 = -1 · 5 · 7 · 594 |
Discriminant |
Eigenvalues |
2 -1 5- 7+ 0 1 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1160,-14859] |
[a1,a2,a3,a4,a6] |
Generators |
[3618318306730766:46913974728708417:20530309586968] |
Generators of the group modulo torsion |
j |
-14258176/35 |
j-invariant |
L |
10.514377145994 |
L(r)(E,1)/r! |
Ω |
0.40894038492349 |
Real period |
R |
25.711271211232 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121835i1 |
Quadratic twists by: -59 |