Atkin-Lehner |
2+ 3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
95550g |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
60147360 |
Modular degree for the optimal curve |
Δ |
4.5718454087333E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -1 13- 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1401684470,20198093828340] |
[a1,a2,a3,a4,a6] |
j |
2113246549802419900514065/3172248553754592 |
j-invariant |
L |
2.1541781023728 |
L(r)(E,1)/r! |
Ω |
0.079784365974699 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95550ki1 95550dq1 |
Quadratic twists by: 5 -7 |