Atkin-Lehner |
3+ 5+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
53475g |
Isogeny class |
Conductor |
53475 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
396000 |
Modular degree for the optimal curve |
Δ |
-37397887470703125 = -1 · 35 · 510 · 232 · 313 |
Discriminant |
Eigenvalues |
1 3+ 5+ 2 -4 2 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,9050,9302125] |
[a1,a2,a3,a4,a6] |
Generators |
[-84:2863:1] |
Generators of the group modulo torsion |
j |
8392559375/3829543677 |
j-invariant |
L |
6.0119674872592 |
L(r)(E,1)/r! |
Ω |
0.28397465913789 |
Real period |
R |
3.5284647730072 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000151 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53475o1 |
Quadratic twists by: 5 |