Atkin-Lehner |
2+ 3+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
77376b |
Isogeny class |
Conductor |
77376 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-66540527419392 = -1 · 223 · 39 · 13 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -1 0 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-392993,94957473] |
[a1,a2,a3,a4,a6] |
j |
-25605858405543625/253831968 |
j-invariant |
L |
1.1185742674935 |
L(r)(E,1)/r! |
Ω |
0.55928715358722 |
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 |
77376bi1 2418b1 |
Quadratic twists by: -4 8 |