Atkin-Lehner |
2+ 3- 23- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
9246c |
Isogeny class |
Conductor |
9246 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
7488 |
Modular degree for the optimal curve |
Δ |
39309627888 = 24 · 313 · 23 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 3 -2 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2451,45502] |
[a1,a2,a3,a4,a6] |
Generators |
[35:36:1] |
Generators of the group modulo torsion |
j |
1627417228515625/39309627888 |
j-invariant |
L |
4.0989512857405 |
L(r)(E,1)/r! |
Ω |
1.1478194219193 |
Real period |
R |
0.13734910693954 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73968e1 27738l1 |
Quadratic twists by: -4 -3 |