Atkin-Lehner |
2- 3- 29- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
61596k |
Isogeny class |
Conductor |
61596 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
950400 |
Modular degree for the optimal curve |
Δ |
-202370776158949488 = -1 · 24 · 311 · 295 · 592 |
Discriminant |
Eigenvalues |
2- 3- -4 -3 -3 -5 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,127023,-12838295] |
[a1,a2,a3,a4,a6] |
Generators |
[563:15399:1] [128:2349:1] |
Generators of the group modulo torsion |
j |
19432259342802176/17350032249567 |
j-invariant |
L |
6.6512679823588 |
L(r)(E,1)/r! |
Ω |
0.17425910481159 |
Real period |
R |
0.31807367107817 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20532g1 |
Quadratic twists by: -3 |