Atkin-Lehner |
2- 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76440cc |
Isogeny class |
Conductor |
76440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-8.3550833490319E+26 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,232331720,-276029579300] |
[a1,a2,a3,a4,a6] |
j |
11512271847440983233884/6935257488834531675 |
j-invariant |
L |
0.93314435638033 |
L(r)(E,1)/r! |
Ω |
0.029160762511445 |
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 |
10920r4 |
Quadratic twists by: -7 |