Atkin-Lehner |
2+ 3- 5+ 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39270ba |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
deg |
3317760 |
Modular degree for the optimal curve |
Δ |
1.9730072665828E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-55929534,160989278332] |
[a1,a2,a3,a4,a6] |
Generators |
[3446:94089:1] |
Generators of the group modulo torsion |
j |
19348500074498433964341597529/19730072665827562500 |
j-invariant |
L |
4.5509167459148 |
L(r)(E,1)/r! |
Ω |
0.18191065361535 |
Real period |
R |
2.5017318422353 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
117810ev1 |
Quadratic twists by: -3 |