Atkin-Lehner |
2+ 5- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
39710j |
Isogeny class |
Conductor |
39710 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
224000 |
Modular degree for the optimal curve |
Δ |
-835390661806250 = -1 · 2 · 55 · 117 · 193 |
Discriminant |
Eigenvalues |
2+ 1 5- 4 11+ -5 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-9508,-1436444] |
[a1,a2,a3,a4,a6] |
j |
-13856857998859/121794818750 |
j-invariant |
L |
2.1189222578402 |
L(r)(E,1)/r! |
Ω |
0.2118922257812 |
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 |
39710y1 |
Quadratic twists by: -19 |