Atkin-Lehner |
2+ 3- 7+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
56826f |
Isogeny class |
Conductor |
56826 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
81395712 |
Modular degree for the optimal curve |
Δ |
-2.0991373146201E+25 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ 11+ -1 -7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-29996511984,1999658719835392] |
[a1,a2,a3,a4,a6] |
j |
-4094571474826687777010284724629249/28794750543485535780864 |
j-invariant |
L |
0.75019693740672 |
L(r)(E,1)/r! |
Ω |
0.046887308602592 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18942m1 |
Quadratic twists by: -3 |