Atkin-Lehner |
2- 5- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
24700p |
Isogeny class |
Conductor |
24700 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
21312 |
Modular degree for the optimal curve |
Δ |
750880000 = 28 · 54 · 13 · 192 |
Discriminant |
Eigenvalues |
2- -3 5- -2 0 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1000,12100] |
[a1,a2,a3,a4,a6] |
Generators |
[40:-190:1] [-35:65:1] |
Generators of the group modulo torsion |
j |
691200000/4693 |
j-invariant |
L |
4.9059649674607 |
L(r)(E,1)/r! |
Ω |
1.6079155815317 |
Real period |
R |
0.16950741222606 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98800cn1 24700m1 |
Quadratic twists by: -4 5 |