Atkin-Lehner |
2+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
33320b |
Isogeny class |
Conductor |
33320 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11904 |
Modular degree for the optimal curve |
Δ |
-145008640 = -1 · 211 · 5 · 72 · 172 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 3 -1 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1043,-12978] |
[a1,a2,a3,a4,a6] |
Generators |
[6730:36856:125] |
Generators of the group modulo torsion |
j |
-1250404722/1445 |
j-invariant |
L |
5.1122245216409 |
L(r)(E,1)/r! |
Ω |
0.42001847232219 |
Real period |
R |
6.0857139132194 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66640g1 33320d1 |
Quadratic twists by: -4 -7 |