Atkin-Lehner |
2+ 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127160d |
Isogeny class |
Conductor |
127160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-2412741500057363200 = -1 · 28 · 52 · 11 · 1711 |
Discriminant |
Eigenvalues |
2+ 2 5+ -1 11- 4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-319441,102156405] |
[a1,a2,a3,a4,a6] |
j |
-583396135936/390460675 |
j-invariant |
L |
3.8103358598299 |
L(r)(E,1)/r! |
Ω |
0.23814594489345 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7480c1 |
Quadratic twists by: 17 |