Atkin-Lehner |
2- 5+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
61370o |
Isogeny class |
Conductor |
61370 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1181952 |
Modular degree for the optimal curve |
Δ |
-88593907425224450 = -1 · 2 · 52 · 172 · 1910 |
Discriminant |
Eigenvalues |
2- -1 5+ 2 5 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1436246,662064693] |
[a1,a2,a3,a4,a6] |
Generators |
[47604:132651:64] |
Generators of the group modulo torsion |
j |
-53440955929/14450 |
j-invariant |
L |
8.2542696882148 |
L(r)(E,1)/r! |
Ω |
0.33194066687055 |
Real period |
R |
6.2166755328739 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997758 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61370b1 |
Quadratic twists by: -19 |