Atkin-Lehner |
2+ 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
24674a |
Isogeny class |
Conductor |
24674 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
84672 |
Modular degree for the optimal curve |
Δ |
-49544221070656 = -1 · 26 · 139 · 73 |
Discriminant |
Eigenvalues |
2+ -2 -3 4 0 13+ 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3215,-346110] |
[a1,a2,a3,a4,a6] |
Generators |
[287:4588:1] |
Generators of the group modulo torsion |
j |
-761048497/10264384 |
j-invariant |
L |
2.3984094122903 |
L(r)(E,1)/r! |
Ω |
0.27114883072009 |
Real period |
R |
2.2113403604958 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1898b1 |
Quadratic twists by: 13 |