Atkin-Lehner |
2+ 5+ 17- 79- |
Signs for the Atkin-Lehner involutions |
Class |
53720b |
Isogeny class |
Conductor |
53720 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13344 |
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] |
Generators |
[9:18:1] |
Generators of the group modulo torsion |
j |
-1024/167875 |
j-invariant |
L |
6.4564074045916 |
L(r)(E,1)/r! |
Ω |
0.92811891933647 |
Real period |
R |
1.739111031475 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000057 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107440d1 |
Quadratic twists by: -4 |