Atkin-Lehner |
2+ 3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
115920bb |
Isogeny class |
Conductor |
115920 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
967496140800 = 211 · 36 · 52 · 72 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -2 -4 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10083,386818] |
[a1,a2,a3,a4,a6] |
Generators |
[69:-140:1] [-19:756:1] |
Generators of the group modulo torsion |
j |
75933869762/648025 |
j-invariant |
L |
11.114768513318 |
L(r)(E,1)/r! |
Ω |
0.88497868336214 |
Real period |
R |
0.78496018607868 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001652 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57960j2 12880i2 |
Quadratic twists by: -4 -3 |