Atkin-Lehner |
5+ 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
24745b |
Isogeny class |
Conductor |
24745 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-2079446075 = -1 · 52 · 77 · 101 |
Discriminant |
Eigenvalues |
-1 -3 5+ 7- 0 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-573,5856] |
[a1,a2,a3,a4,a6] |
Generators |
[16:16:1] [-10:107:1] |
Generators of the group modulo torsion |
j |
-176558481/17675 |
j-invariant |
L |
3.2871810379584 |
L(r)(E,1)/r! |
Ω |
1.4331861272128 |
Real period |
R |
0.28670220981268 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123725c1 3535c1 |
Quadratic twists by: 5 -7 |