Atkin-Lehner |
3- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
68355bf |
Isogeny class |
Conductor |
68355 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-175997436767578125 = -1 · 37 · 512 · 73 · 312 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 4 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-634734,-195526787] |
[a1,a2,a3,a4,a6] |
Generators |
[1052:16799:1] |
Generators of the group modulo torsion |
j |
-113103940375249543/703857421875 |
j-invariant |
L |
9.3037281298899 |
L(r)(E,1)/r! |
Ω |
0.084539575323334 |
Real period |
R |
2.2927447722207 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000226 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22785d2 68355l2 |
Quadratic twists by: -3 -7 |