Atkin-Lehner |
2+ 5- 13- 89- |
Signs for the Atkin-Lehner involutions |
Class |
46280c |
Isogeny class |
Conductor |
46280 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
1251411200 = 28 · 52 · 133 · 89 |
Discriminant |
Eigenvalues |
2+ -2 5- -5 -2 13- -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-345,1675] |
[a1,a2,a3,a4,a6] |
Generators |
[5:-10:1] [3:26:1] |
Generators of the group modulo torsion |
j |
17790954496/4888325 |
j-invariant |
L |
6.0766146872175 |
L(r)(E,1)/r! |
Ω |
1.4294550437495 |
Real period |
R |
0.17712503778361 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92560f1 |
Quadratic twists by: -4 |