Atkin-Lehner |
2+ 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
75200bb |
Isogeny class |
Conductor |
75200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
150400000000000 = 216 · 511 · 47 |
Discriminant |
Eigenvalues |
2+ -3 5+ -1 3 1 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-88300,-10082000] |
[a1,a2,a3,a4,a6] |
j |
74354261796/146875 |
j-invariant |
L |
1.1079519480264 |
L(r)(E,1)/r! |
Ω |
0.27698797549918 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75200cl1 9400k1 15040l1 |
Quadratic twists by: -4 8 5 |