Atkin-Lehner |
2- 5- 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
80080bn |
Isogeny class |
Conductor |
80080 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
57507840 |
Modular degree for the optimal curve |
Δ |
-1.0838077508454E+29 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 11- 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,20547853,-15839196271694] |
[a1,a2,a3,a4,a6] |
j |
234241108436789946525879/26460150167125207212359680 |
j-invariant |
L |
2.7677686521344 |
L(r)(E,1)/r! |
Ω |
0.015376492235542 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10010k1 |
Quadratic twists by: -4 |