Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
60690t |
Isogeny class |
Conductor |
60690 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
11059200 |
Modular degree for the optimal curve |
Δ |
-6.6254147700718E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-146305534,681143546396] |
[a1,a2,a3,a4,a6] |
Generators |
[6841:17387:1] |
Generators of the group modulo torsion |
j |
-14348696196102335214841/274485585937500 |
j-invariant |
L |
5.670316515383 |
L(r)(E,1)/r! |
Ω |
0.1227838626332 |
Real period |
R |
2.3090642344 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000048 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3570e1 |
Quadratic twists by: 17 |