Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
11700g |
Isogeny class |
Conductor |
11700 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-4007584534248172800 = -1 · 28 · 310 · 52 · 139 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 3 13+ 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,131145,94565630] |
[a1,a2,a3,a4,a6] |
Generators |
[48043682:1655780166:103823] |
Generators of the group modulo torsion |
j |
53465227872560/858964449213 |
j-invariant |
L |
4.9408335083338 |
L(r)(E,1)/r! |
Ω |
0.18392068281605 |
Real period |
R |
13.431968152476 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46800da2 3900b2 11700v2 |
Quadratic twists by: -4 -3 5 |