Atkin-Lehner |
2+ 3- 5+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
72150bh |
Isogeny class |
Conductor |
72150 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
7188480 |
Modular degree for the optimal curve |
Δ |
3.1932171288576E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 13- 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-9059876,-6021787102] |
[a1,a2,a3,a4,a6] |
j |
5263448502389448325681/2043658962468864000 |
j-invariant |
L |
2.1585903167323 |
L(r)(E,1)/r! |
Ω |
0.089941262331627 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14430z1 |
Quadratic twists by: 5 |