Atkin-Lehner |
2+ 3+ 5- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
79050m |
Isogeny class |
Conductor |
79050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-1083559693500 = -1 · 22 · 33 · 53 · 174 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 -2 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1740,42300] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:160:1] |
Generators of the group modulo torsion |
j |
4656626380099/8668477548 |
j-invariant |
L |
2.7367388365704 |
L(r)(E,1)/r! |
Ω |
0.60019025289023 |
Real period |
R |
1.1399463859634 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999922523 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79050cm1 |
Quadratic twists by: 5 |