Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
60690w |
Isogeny class |
Conductor |
60690 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
11029903530240 = 28 · 3 · 5 · 7 · 177 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-12289,498356] |
[a1,a2,a3,a4,a6] |
Generators |
[63891:194122:729] |
Generators of the group modulo torsion |
j |
8502154921/456960 |
j-invariant |
L |
5.2722942460404 |
L(r)(E,1)/r! |
Ω |
0.70887479347873 |
Real period |
R |
7.4375535632421 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998296 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3570g1 |
Quadratic twists by: 17 |