Atkin-Lehner |
2+ 7- 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
68306h |
Isogeny class |
Conductor |
68306 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1871266095109125512 = 23 · 78 · 176 · 412 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- -2 0 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3479303,2497968661] |
[a1,a2,a3,a4,a6] |
Generators |
[2053:62257:1] |
Generators of the group modulo torsion |
j |
39592442701299014073/15905499367688 |
j-invariant |
L |
2.704966181167 |
L(r)(E,1)/r! |
Ω |
0.25910561751315 |
Real period |
R |
2.6099069239458 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000164 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9758f2 |
Quadratic twists by: -7 |