Atkin-Lehner |
2- 5- 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
5530l |
Isogeny class |
Conductor |
5530 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-4741975000000 = -1 · 26 · 58 · 74 · 79 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ -4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2285,-95775] |
[a1,a2,a3,a4,a6] |
Generators |
[40:225:1] |
Generators of the group modulo torsion |
j |
1319381670453839/4741975000000 |
j-invariant |
L |
4.1287079872033 |
L(r)(E,1)/r! |
Ω |
0.39246897715161 |
Real period |
R |
0.43832636330985 |
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 |
44240z1 49770j1 27650d1 38710bb1 |
Quadratic twists by: -4 -3 5 -7 |