Atkin-Lehner |
2+ 3- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
113568bi |
Isogeny class |
Conductor |
113568 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-17220542976 = -1 · 29 · 37 · 7 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ -1 13- 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-680,-9528] |
[a1,a2,a3,a4,a6] |
Generators |
[82:702:1] |
Generators of the group modulo torsion |
j |
-30959144/15309 |
j-invariant |
L |
9.3333130894914 |
L(r)(E,1)/r! |
Ω |
0.45666979739767 |
Real period |
R |
0.72992041780931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030647 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113568cf1 113568cy1 |
Quadratic twists by: -4 13 |