Atkin-Lehner |
2+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
31850b |
Isogeny class |
Conductor |
31850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2128896 |
Modular degree for the optimal curve |
Δ |
-3.1924268859392E+22 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ 0 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-11148750,-16713687500] |
[a1,a2,a3,a4,a6] |
Generators |
[178500:11942750:27] |
Generators of the group modulo torsion |
j |
-1701366814932001/354418688000 |
j-invariant |
L |
2.7987937533922 |
L(r)(E,1)/r! |
Ω |
0.040854068039149 |
Real period |
R |
4.2816937941011 |
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 |
6370s1 31850u1 |
Quadratic twists by: 5 -7 |