Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
34650dn |
Isogeny class |
Conductor |
34650 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-4311014400000000 = -1 · 216 · 37 · 58 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,7870,-3149503] |
[a1,a2,a3,a4,a6] |
Generators |
[189:2155:1] |
Generators of the group modulo torsion |
j |
4733169839/378470400 |
j-invariant |
L |
9.1486163624157 |
L(r)(E,1)/r! |
Ω |
0.20803173804593 |
Real period |
R |
0.68714097187994 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11550y1 6930g1 |
Quadratic twists by: -3 5 |