Atkin-Lehner |
2- 3+ 29- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
31842s |
Isogeny class |
Conductor |
31842 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
27840 |
Modular degree for the optimal curve |
Δ |
-41132731392 = -1 · 210 · 33 · 293 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 0 3 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-89,9785] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:94:1] |
Generators of the group modulo torsion |
j |
-2857243059/1523434496 |
j-invariant |
L |
9.8610340815236 |
L(r)(E,1)/r! |
Ω |
0.92808717736661 |
Real period |
R |
0.17708526960983 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31842b1 |
Quadratic twists by: -3 |