Atkin-Lehner |
2- 5- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
72670v |
Isogeny class |
Conductor |
72670 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
2661120 |
Modular degree for the optimal curve |
Δ |
-2.8499592064937E+20 |
Discriminant |
Eigenvalues |
2- 0 5- -4 -2 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1075717,919031741] |
[a1,a2,a3,a4,a6] |
Generators |
[-159:33034:1] |
Generators of the group modulo torsion |
j |
-28520511877550889/59044375000000 |
j-invariant |
L |
7.8147476263471 |
L(r)(E,1)/r! |
Ω |
0.15422209479316 |
Real period |
R |
0.84453394267658 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000687 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5590a1 |
Quadratic twists by: 13 |