Atkin-Lehner |
2+ 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
48510bb |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-364498055153971200 = -1 · 212 · 36 · 52 · 79 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-24705,29091901] |
[a1,a2,a3,a4,a6] |
j |
-19443408769/4249907200 |
j-invariant |
L |
1.970764274516 |
L(r)(E,1)/r! |
Ω |
0.24634553435276 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5390bf1 6930p1 |
Quadratic twists by: -3 -7 |