Atkin-Lehner |
3- 5- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
24675u |
Isogeny class |
Conductor |
24675 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43520 |
Modular degree for the optimal curve |
Δ |
13494140625 = 3 · 59 · 72 · 47 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ -4 -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-17951,924173] |
[a1,a2,a3,a4,a6] |
Generators |
[401:7431:1] |
Generators of the group modulo torsion |
j |
327510203957/6909 |
j-invariant |
L |
6.8611235785673 |
L(r)(E,1)/r! |
Ω |
1.1602203306571 |
Real period |
R |
5.9136384678601 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74025bj1 24675n1 |
Quadratic twists by: -3 5 |