Atkin-Lehner |
2+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
34496f |
Isogeny class |
Conductor |
34496 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
13846970368 = 219 · 74 · 11 |
Discriminant |
Eigenvalues |
2+ -1 0 7+ 11- 1 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1633,25313] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:224:1] [-16:217:1] |
Generators of the group modulo torsion |
j |
765625/22 |
j-invariant |
L |
7.4021015849542 |
L(r)(E,1)/r! |
Ω |
1.2494882853217 |
Real period |
R |
0.49367553581137 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34496bz1 1078a1 34496bg1 |
Quadratic twists by: -4 8 -7 |