Atkin-Lehner |
2+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
31850x |
Isogeny class |
Conductor |
31850 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1419264 |
Modular degree for the optimal curve |
Δ |
-1.77313749158E+21 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- -1 13- -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4991900,-4748990000] |
[a1,a2,a3,a4,a6] |
Generators |
[36525:6948925:1] |
Generators of the group modulo torsion |
j |
-21818208730807/2812160000 |
j-invariant |
L |
2.5889445947837 |
L(r)(E,1)/r! |
Ω |
0.050140553671302 |
Real period |
R |
4.3028121371168 |
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 |
6370m1 31850g1 |
Quadratic twists by: 5 -7 |