Atkin-Lehner |
2+ 3- 5+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
112710bg |
Isogeny class |
Conductor |
112710 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
528768 |
Modular degree for the optimal curve |
Δ |
-1322185065367140 = -1 · 22 · 36 · 5 · 13 · 178 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -3 13- 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-23849,2249696] |
[a1,a2,a3,a4,a6] |
j |
-215038729/189540 |
j-invariant |
L |
1.7647663956138 |
L(r)(E,1)/r! |
Ω |
0.44119179791474 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
112710r1 |
Quadratic twists by: 17 |