Atkin-Lehner |
2- 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
121296ca |
Isogeny class |
Conductor |
121296 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1520640 |
Modular degree for the optimal curve |
Δ |
-451871438090010624 = -1 · 223 · 310 · 7 · 194 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 0 -1 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-944496,-354466368] |
[a1,a2,a3,a4,a6] |
Generators |
[6194:481034:1] |
Generators of the group modulo torsion |
j |
-174562192958689/846526464 |
j-invariant |
L |
4.975681177192 |
L(r)(E,1)/r! |
Ω |
0.076549703225245 |
Real period |
R |
8.1249190306487 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000106497 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15162bb1 121296dc1 |
Quadratic twists by: -4 -19 |