Atkin-Lehner |
3- 5+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
90675x |
Isogeny class |
Conductor |
90675 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
25056 |
Modular degree for the optimal curve |
Δ |
-1241250075 = -1 · 36 · 52 · 133 · 31 |
Discriminant |
Eigenvalues |
0 3- 5+ -2 3 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-30,1696] |
[a1,a2,a3,a4,a6] |
Generators |
[4:40:1] |
Generators of the group modulo torsion |
j |
-163840/68107 |
j-invariant |
L |
4.6057006374481 |
L(r)(E,1)/r! |
Ω |
1.2445540190699 |
Real period |
R |
1.8503417925543 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10075b1 90675cd1 |
Quadratic twists by: -3 5 |