Atkin-Lehner |
2+ 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
61370b |
Isogeny class |
Conductor |
61370 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
-1883138450 = -1 · 2 · 52 · 172 · 194 |
Discriminant |
Eigenvalues |
2+ 1 5+ 2 5 2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3979,-96944] |
[a1,a2,a3,a4,a6] |
Generators |
[2766:19046:27] |
Generators of the group modulo torsion |
j |
-53440955929/14450 |
j-invariant |
L |
5.9029941172658 |
L(r)(E,1)/r! |
Ω |
0.30056063894371 |
Real period |
R |
4.9099859997339 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000215 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61370o1 |
Quadratic twists by: -19 |