Atkin-Lehner |
3- 5- 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
61275o |
Isogeny class |
Conductor |
61275 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
105600 |
Modular degree for the optimal curve |
Δ |
-19700869921875 = -1 · 32 · 58 · 194 · 43 |
Discriminant |
Eigenvalues |
0 3- 5- -2 -5 3 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,1667,212494] |
[a1,a2,a3,a4,a6] |
Generators |
[58:-713:1] |
Generators of the group modulo torsion |
j |
1310720000/50434227 |
j-invariant |
L |
5.1942192008683 |
L(r)(E,1)/r! |
Ω |
0.51811315378643 |
Real period |
R |
0.41771917671878 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995076 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61275b1 |
Quadratic twists by: 5 |