Atkin-Lehner |
2- 5- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
72670x |
Isogeny class |
Conductor |
72670 |
Conductor |
∏ cp |
156 |
Product of Tamagawa factors cp |
deg |
142272 |
Modular degree for the optimal curve |
Δ |
-12092288000000 = -1 · 213 · 56 · 133 · 43 |
Discriminant |
Eigenvalues |
2- -1 5- -1 5 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1160,167097] |
[a1,a2,a3,a4,a6] |
Generators |
[57:621:1] |
Generators of the group modulo torsion |
j |
78567733187/5504000000 |
j-invariant |
L |
9.0255192523852 |
L(r)(E,1)/r! |
Ω |
0.54451656941371 |
Real period |
R |
0.10625184959557 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001357 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72670f1 |
Quadratic twists by: 13 |