Atkin-Lehner |
2- 5+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
81400p |
Isogeny class |
Conductor |
81400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-315180800 = -1 · 28 · 52 · 113 · 37 |
Discriminant |
Eigenvalues |
2- -3 5+ 2 11- -5 -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,65,-830] |
[a1,a2,a3,a4,a6] |
Generators |
[9:22:1] |
Generators of the group modulo torsion |
j |
4745520/49247 |
j-invariant |
L |
3.3759247822737 |
L(r)(E,1)/r! |
Ω |
0.84770734902801 |
Real period |
R |
0.33186814444472 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008367 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81400j1 |
Quadratic twists by: 5 |