Atkin-Lehner |
2+ 3+ 5+ 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
39270d |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
127296 |
Modular degree for the optimal curve |
Δ |
-30643839959040 = -1 · 217 · 36 · 5 · 73 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11- 5 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-143,266277] |
[a1,a2,a3,a4,a6] |
Generators |
[-61:260:1] |
Generators of the group modulo torsion |
j |
-326940373369/30643839959040 |
j-invariant |
L |
3.2232766161732 |
L(r)(E,1)/r! |
Ω |
0.52629354443311 |
Real period |
R |
3.0622422127982 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117810dx1 |
Quadratic twists by: -3 |