Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
109200hd |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
252709735928832000 = 213 · 318 · 53 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 13- 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-240728,38412948] |
[a1,a2,a3,a4,a6] |
Generators |
[172:1458:1] |
Generators of the group modulo torsion |
j |
3013251478061453/493573702986 |
j-invariant |
L |
9.1396405024269 |
L(r)(E,1)/r! |
Ω |
0.29758607729334 |
Real period |
R |
0.85312762070184 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030327 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13650v2 109200ew2 |
Quadratic twists by: -4 5 |