Atkin-Lehner |
2- 3- 5- 19+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
124830cn |
Isogeny class |
Conductor |
124830 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
2236416 |
Modular degree for the optimal curve |
Δ |
13820787506250000 = 24 · 313 · 58 · 19 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 4 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-576257,168421889] |
[a1,a2,a3,a4,a6] |
Generators |
[-803:11026:1] |
Generators of the group modulo torsion |
j |
29029805037521502409/18958556250000 |
j-invariant |
L |
10.687977498813 |
L(r)(E,1)/r! |
Ω |
0.3927588809911 |
Real period |
R |
3.4015708783968 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000116322 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
41610k1 |
Quadratic twists by: -3 |