Atkin-Lehner |
2- 5+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
81400o |
Isogeny class |
Conductor |
81400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
79872 |
Modular degree for the optimal curve |
Δ |
89540000000 = 28 · 57 · 112 · 37 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 11- 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1908,-29312] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:50:1] |
Generators of the group modulo torsion |
j |
192143824/22385 |
j-invariant |
L |
3.2457399652569 |
L(r)(E,1)/r! |
Ω |
0.72782045737264 |
Real period |
R |
0.55744173038515 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012068 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16280d1 |
Quadratic twists by: 5 |