Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600dt |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
-395210285568000 = -1 · 212 · 38 · 53 · 76 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 -4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-25153,1800623] |
[a1,a2,a3,a4,a6] |
Generators |
[-61:-1764:1] [83:-540:1] |
Generators of the group modulo torsion |
j |
-29218112/6561 |
j-invariant |
L |
14.148086319294 |
L(r)(E,1)/r! |
Ω |
0.50969217086031 |
Real period |
R |
0.43372031485459 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999961329 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117600bl2 117600ft2 2400h2 |
Quadratic twists by: -4 5 -7 |