Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
71400ds |
Isogeny class |
Conductor |
71400 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
-702683100000000 = -1 · 28 · 310 · 58 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-39508,3267488] |
[a1,a2,a3,a4,a6] |
Generators |
[38:1350:1] |
Generators of the group modulo torsion |
j |
-1705021456336/175670775 |
j-invariant |
L |
8.1098951075943 |
L(r)(E,1)/r! |
Ω |
0.49577400450421 |
Real period |
R |
0.40895120728412 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000384 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14280g1 |
Quadratic twists by: 5 |