Atkin-Lehner |
5+ 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
24745d |
Isogeny class |
Conductor |
24745 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
861696 |
Modular degree for the optimal curve |
Δ |
-3.6712002988606E+20 |
Discriminant |
Eigenvalues |
-1 -1 5+ 7- 4 4 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1199274,771394798] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:27689:1] |
Generators of the group modulo torsion |
j |
1621402000530404399/3120468766296875 |
j-invariant |
L |
2.2966470955436 |
L(r)(E,1)/r! |
Ω |
0.11702204178722 |
Real period |
R |
4.9064412577067 |
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 |
123725o1 3535a1 |
Quadratic twists by: 5 -7 |