Atkin-Lehner |
2+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200do |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
494534656000 = 220 · 53 · 73 · 11 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 11- -6 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24940,-1515600] |
[a1,a2,a3,a4,a6] |
j |
52355598021/15092 |
j-invariant |
L |
2.2794718956823 |
L(r)(E,1)/r! |
Ω |
0.37991195068359 |
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 |
123200gq1 3850x1 123200cy1 |
Quadratic twists by: -4 8 5 |