Atkin-Lehner |
2- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
121520bx |
Isogeny class |
Conductor |
121520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6912000 |
Modular degree for the optimal curve |
Δ |
2.5709879349163E+22 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 3 1 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7836096,-3428271104] |
[a1,a2,a3,a4,a6] |
j |
110426885440588081/53352140800000 |
j-invariant |
L |
0.7576026823057 |
L(r)(E,1)/r! |
Ω |
0.094700329733168 |
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 |
15190x1 17360bb1 |
Quadratic twists by: -4 -7 |