Atkin-Lehner |
2+ 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
129200a |
Isogeny class |
Conductor |
129200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
14976 |
Modular degree for the optimal curve |
Δ |
-2067200 = -1 · 28 · 52 · 17 · 19 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 -2 -6 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,20,60] |
[a1,a2,a3,a4,a6] |
Generators |
[1:9:1] |
Generators of the group modulo torsion |
j |
138240/323 |
j-invariant |
L |
3.4693567533864 |
L(r)(E,1)/r! |
Ω |
1.8203438535758 |
Real period |
R |
1.9058799129311 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999084226 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64600r1 129200z1 |
Quadratic twists by: -4 5 |