Atkin-Lehner |
3- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
62361f |
Isogeny class |
Conductor |
62361 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
5626471273839 = 37 · 137 · 41 |
Discriminant |
Eigenvalues |
-1 3- -3 2 -1 13+ -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10679,411792] |
[a1,a2,a3,a4,a6] |
Generators |
[-94:807:1] [-16:768:1] |
Generators of the group modulo torsion |
j |
38272753/1599 |
j-invariant |
L |
5.7004441594838 |
L(r)(E,1)/r! |
Ω |
0.7532263386081 |
Real period |
R |
0.47300225935425 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000027 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20787c1 4797a1 |
Quadratic twists by: -3 13 |