Atkin-Lehner |
2- 3+ 7+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
49266bc |
Isogeny class |
Conductor |
49266 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-1622230848 = -1 · 26 · 33 · 74 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ -3 -5 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-17630,905389] |
[a1,a2,a3,a4,a6] |
Generators |
[67:-181:1] |
Generators of the group modulo torsion |
j |
-22443665659171875/60082624 |
j-invariant |
L |
7.827962958688 |
L(r)(E,1)/r! |
Ω |
1.3015888861224 |
Real period |
R |
0.25058997257466 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000055 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49266b1 |
Quadratic twists by: -3 |