Atkin-Lehner |
11+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
120263b |
Isogeny class |
Conductor |
120263 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2419200 |
Modular degree for the optimal curve |
Δ |
-350594196798826123 = -1 · 11 · 133 · 299 |
Discriminant |
Eigenvalues |
-1 -2 -2 -5 11+ 13+ -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-568954,167573583] |
[a1,a2,a3,a4,a6] |
Generators |
[737:11826:1] |
Generators of the group modulo torsion |
j |
-34242639807817/589408963 |
j-invariant |
L |
0.74666799583034 |
L(r)(E,1)/r! |
Ω |
0.30353521362393 |
Real period |
R |
0.6149765274593 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999982493706 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4147c1 |
Quadratic twists by: 29 |