Atkin-Lehner |
2- 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
121296by |
Isogeny class |
Conductor |
121296 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1459200 |
Modular degree for the optimal curve |
Δ |
777176540340436992 = 214 · 3 · 72 · 199 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 6 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-262928,-29808960] |
[a1,a2,a3,a4,a6] |
Generators |
[193080:7122864:125] |
Generators of the group modulo torsion |
j |
1520875/588 |
j-invariant |
L |
6.9859727274707 |
L(r)(E,1)/r! |
Ω |
0.21786455299867 |
Real period |
R |
8.0164172523346 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000011759 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15162ba1 121296cy1 |
Quadratic twists by: -4 -19 |