Atkin-Lehner |
2- 5+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
31450o |
Isogeny class |
Conductor |
31450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-1026068535156250 = -1 · 2 · 510 · 175 · 37 |
Discriminant |
Eigenvalues |
2- -2 5+ -1 -2 5 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-10813,1599867] |
[a1,a2,a3,a4,a6] |
Generators |
[-5452:91051:64] |
Generators of the group modulo torsion |
j |
-8948387971081/65668386250 |
j-invariant |
L |
5.5145248564619 |
L(r)(E,1)/r! |
Ω |
0.4232755681074 |
Real period |
R |
6.5141072057608 |
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 |
6290f1 |
Quadratic twists by: 5 |