Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968cd |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-280031582654208 = -1 · 28 · 36 · 7 · 118 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11- -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13431,1003574] |
[a1,a2,a3,a4,a6] |
j |
-810448/847 |
j-invariant |
L |
1.9971163829192 |
L(r)(E,1)/r! |
Ω |
0.49927940140873 |
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 |
60984w1 13552g1 11088n1 |
Quadratic twists by: -4 -3 -11 |