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 |
Δ |
-1.1151056792557E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -1 0 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1740127,-5003780319] |
[a1,a2,a3,a4,a6] |
j |
2222933022458732375/42537905855397888 |
j-invariant |
L |
1.1185742674935 |
L(r)(E,1)/r! |
Ω |
0.062143017065247 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77376bi3 2418b3 |
Quadratic twists by: -4 8 |