Atkin-Lehner |
2+ 3- 5+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
81840t |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
35328 |
Modular degree for the optimal curve |
Δ |
1272775680 = 210 · 36 · 5 · 11 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- -4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-496,-4060] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:6:1] |
Generators of the group modulo torsion |
j |
13205172676/1242945 |
j-invariant |
L |
7.0686699133193 |
L(r)(E,1)/r! |
Ω |
1.0175826364343 |
Real period |
R |
1.1577552626522 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999974918 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40920d1 |
Quadratic twists by: -4 |