Atkin-Lehner |
2+ 5+ 17- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
107440d |
Isogeny class |
Conductor |
107440 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
26688 |
Modular degree for the optimal curve |
Δ |
-42976000 = -1 · 28 · 53 · 17 · 79 |
Discriminant |
Eigenvalues |
2+ -2 5+ 2 4 -4 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1,315] |
[a1,a2,a3,a4,a6] |
j |
-1024/167875 |
j-invariant |
L |
1.6170599549937 |
L(r)(E,1)/r! |
Ω |
1.6170604154572 |
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 |
53720b1 |
Quadratic twists by: -4 |