Atkin-Lehner |
2- 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76440cc |
Isogeny class |
Conductor |
76440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
7372800 |
Modular degree for the optimal curve |
Δ |
1.7664423275627E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-44922775,-115699014248] |
[a1,a2,a3,a4,a6] |
j |
5326172487431504287744/9384070028021325 |
j-invariant |
L |
0.93314435638033 |
L(r)(E,1)/r! |
Ω |
0.058321525022891 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10920r1 |
Quadratic twists by: -7 |