Atkin-Lehner |
2- 3+ 5- 29- 37- |
Signs for the Atkin-Lehner involutions |
Class |
32190s |
Isogeny class |
Conductor |
32190 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
-1054801920 = -1 · 216 · 3 · 5 · 29 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,250,-253] |
[a1,a2,a3,a4,a6] |
Generators |
[5:31:1] |
Generators of the group modulo torsion |
j |
1727568035999/1054801920 |
j-invariant |
L |
6.1217196468287 |
L(r)(E,1)/r! |
Ω |
0.9007821337365 |
Real period |
R |
1.6990011839587 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96570d1 |
Quadratic twists by: -3 |