Atkin-Lehner |
2- 5+ 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
35650i |
Isogeny class |
Conductor |
35650 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
28224 |
Modular degree for the optimal curve |
Δ |
-7130000000 = -1 · 27 · 57 · 23 · 31 |
Discriminant |
Eigenvalues |
2- -1 5+ -4 5 -4 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1188,15781] |
[a1,a2,a3,a4,a6] |
Generators |
[25:-63:1] |
Generators of the group modulo torsion |
j |
-11867954041/456320 |
j-invariant |
L |
5.3834988493338 |
L(r)(E,1)/r! |
Ω |
1.3163873940004 |
Real period |
R |
0.14605716897922 |
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 |
7130f1 |
Quadratic twists by: 5 |