Atkin-Lehner |
2+ 3+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
77376d |
Isogeny class |
Conductor |
77376 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-493920190513152 = -1 · 214 · 34 · 13 · 315 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 5 13+ 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,19627,146061] |
[a1,a2,a3,a4,a6] |
j |
51032096768000/30146496003 |
j-invariant |
L |
3.1875699437721 |
L(r)(E,1)/r! |
Ω |
0.31875699360884 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77376bj1 4836e1 |
Quadratic twists by: -4 8 |