Atkin-Lehner |
2- 3- 5- 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
39270cv |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
1024 |
Product of Tamagawa factors cp |
deg |
425984 |
Modular degree for the optimal curve |
Δ |
-9447183900000000 = -1 · 28 · 38 · 58 · 7 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11+ -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-269700,54090000] |
[a1,a2,a3,a4,a6] |
Generators |
[-400:10100:1] |
Generators of the group modulo torsion |
j |
-2169534956816532916801/9447183900000000 |
j-invariant |
L |
11.348243665614 |
L(r)(E,1)/r! |
Ω |
0.41159172866488 |
Real period |
R |
1.723225176078 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
117810y1 |
Quadratic twists by: -3 |