Atkin-Lehner |
2+ 5- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
72670i |
Isogeny class |
Conductor |
72670 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-2158548984800 = -1 · 25 · 52 · 137 · 43 |
Discriminant |
Eigenvalues |
2+ -1 5- -1 1 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,3208,-9056] |
[a1,a2,a3,a4,a6] |
Generators |
[5:82:1] |
Generators of the group modulo torsion |
j |
756058031/447200 |
j-invariant |
L |
3.2996432185746 |
L(r)(E,1)/r! |
Ω |
0.48240484148629 |
Real period |
R |
0.85499847170367 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002633 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5590d1 |
Quadratic twists by: 13 |