Atkin-Lehner |
2- 3+ 5- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
118320cb |
Isogeny class |
Conductor |
118320 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1509712981432934400 = 213 · 36 · 52 · 17 · 296 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -4 0 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2155720,-1216097168] |
[a1,a2,a3,a4,a6] |
Generators |
[6234:477050:1] |
Generators of the group modulo torsion |
j |
270483650134884494281/368582270857650 |
j-invariant |
L |
6.8202756439368 |
L(r)(E,1)/r! |
Ω |
0.12460543597205 |
Real period |
R |
4.5612480629185 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003603 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14790m2 |
Quadratic twists by: -4 |