Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
34650p |
Isogeny class |
Conductor |
34650 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-122790937500 = -1 · 22 · 36 · 57 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- -2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-792,19116] |
[a1,a2,a3,a4,a6] |
Generators |
[9:-117:1] |
Generators of the group modulo torsion |
j |
-4826809/10780 |
j-invariant |
L |
4.1110569400357 |
L(r)(E,1)/r! |
Ω |
0.92812171384454 |
Real period |
R |
0.55367966274137 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3850p1 6930bj1 |
Quadratic twists by: -3 5 |