Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968cg |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-1339551904421808 = -1 · 24 · 39 · 74 · 116 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11- -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7986,-1782209] |
[a1,a2,a3,a4,a6] |
j |
-2725888/64827 |
j-invariant |
L |
0.83434088962395 |
L(r)(E,1)/r! |
Ω |
0.2085851925358 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60984z1 40656bb1 1008e1 |
Quadratic twists by: -4 -3 -11 |