Atkin-Lehner |
2- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
83600bv |
Isogeny class |
Conductor |
83600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
85606400000000 = 220 · 58 · 11 · 19 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 11- 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12408,287188] |
[a1,a2,a3,a4,a6] |
Generators |
[3:500:1] |
Generators of the group modulo torsion |
j |
3301293169/1337600 |
j-invariant |
L |
5.1356848011893 |
L(r)(E,1)/r! |
Ω |
0.54984166324867 |
Real period |
R |
2.3350744133884 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008026 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10450d1 16720v1 |
Quadratic twists by: -4 5 |