Atkin-Lehner |
2+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
2200a |
Isogeny class |
Conductor |
2200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
-68750000 = -1 · 24 · 58 · 11 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 11- 4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,50,-375] |
[a1,a2,a3,a4,a6] |
j |
55296/275 |
j-invariant |
L |
1.9645270629978 |
L(r)(E,1)/r! |
Ω |
0.98226353149888 |
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 |
4400a1 17600b1 19800bb1 440b1 |
Quadratic twists by: -4 8 -3 5 |