Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968ea |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
-30987648070815744 = -1 · 212 · 312 · 76 · 112 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 11- 5 7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-463683,121823746] |
[a1,a2,a3,a4,a6] |
j |
-30515071121161/85766121 |
j-invariant |
L |
2.97751835924 |
L(r)(E,1)/r! |
Ω |
0.37218996198887 |
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 |
7623n1 40656ch1 121968fs1 |
Quadratic twists by: -4 -3 -11 |