Atkin-Lehner |
2- 3+ 5+ 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
85140b |
Isogeny class |
Conductor |
85140 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
100224 |
Modular degree for the optimal curve |
Δ |
-2327514750000 = -1 · 24 · 39 · 56 · 11 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11+ 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3132,28917] |
[a1,a2,a3,a4,a6] |
Generators |
[2848944:39364451:110592] |
Generators of the group modulo torsion |
j |
10788913152/7390625 |
j-invariant |
L |
6.2238002600465 |
L(r)(E,1)/r! |
Ω |
0.51625729078428 |
Real period |
R |
12.055617167214 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004126 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85140d1 |
Quadratic twists by: -3 |