Atkin-Lehner |
5+ 37- 67- |
Signs for the Atkin-Lehner involutions |
Class |
61975d |
Isogeny class |
Conductor |
61975 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
136704 |
Modular degree for the optimal curve |
Δ |
64880078125 = 58 · 37 · 672 |
Discriminant |
Eigenvalues |
2 -1 5+ 1 -3 6 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-32008,2214793] |
[a1,a2,a3,a4,a6] |
Generators |
[826:21:8] |
Generators of the group modulo torsion |
j |
232109475106816/4152325 |
j-invariant |
L |
9.9463185437702 |
L(r)(E,1)/r! |
Ω |
1.0133881392536 |
Real period |
R |
2.4537287734458 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999486 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12395b1 |
Quadratic twists by: 5 |