Atkin-Lehner |
3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
24843u |
Isogeny class |
Conductor |
24843 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
2393735613633 = 33 · 79 · 133 |
Discriminant |
Eigenvalues |
1 3- 2 7- -4 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3995,62129] |
[a1,a2,a3,a4,a6] |
j |
79507/27 |
j-invariant |
L |
2.2540360545781 |
L(r)(E,1)/r! |
Ω |
0.751345351526 |
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 |
74529bm1 24843h1 24843v1 |
Quadratic twists by: -3 -7 13 |