Atkin-Lehner |
3- 5- 37- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
23865f |
Isogeny class |
Conductor |
23865 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4640 |
Modular degree for the optimal curve |
Δ |
-2649015 = -1 · 32 · 5 · 372 · 43 |
Discriminant |
Eigenvalues |
1 3- 5- -4 4 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-33,103] |
[a1,a2,a3,a4,a6] |
j |
-3803721481/2649015 |
j-invariant |
L |
2.3598673334115 |
L(r)(E,1)/r! |
Ω |
2.3598673334116 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71595c1 119325a1 |
Quadratic twists by: -3 5 |