Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968eu |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1622016 |
Modular degree for the optimal curve |
Δ |
-282271835315441664 = -1 · 212 · 38 · 72 · 118 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 11- 7 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,51909,-25153238] |
[a1,a2,a3,a4,a6] |
j |
24167/441 |
j-invariant |
L |
3.6063237998862 |
L(r)(E,1)/r! |
Ω |
0.15026350276685 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7623q1 40656ct1 121968gg1 |
Quadratic twists by: -4 -3 -11 |