Atkin-Lehner |
2- 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
109200dz |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
30708787200000000 = 217 · 3 · 58 · 7 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-35841408,82601613312] |
[a1,a2,a3,a4,a6] |
j |
79560762543506753209/479824800 |
j-invariant |
L |
2.0295839702888 |
L(r)(E,1)/r! |
Ω |
0.25369803951582 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13650cp3 21840bq4 |
Quadratic twists by: -4 5 |