Atkin-Lehner |
2- 7- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
24472g |
Isogeny class |
Conductor |
24472 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
124800 |
Modular degree for the optimal curve |
Δ |
-53987040187136 = -1 · 28 · 7 · 195 · 233 |
Discriminant |
Eigenvalues |
2- -3 -3 7- 2 -1 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16999,-923414] |
[a1,a2,a3,a4,a6] |
Generators |
[165:874:1] |
Generators of the group modulo torsion |
j |
-2122041478031568/210886875731 |
j-invariant |
L |
2.1832075662017 |
L(r)(E,1)/r! |
Ω |
0.20788500422659 |
Real period |
R |
0.17503327334937 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48944b1 |
Quadratic twists by: -4 |