Atkin-Lehner |
2+ 3+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
49818d |
Isogeny class |
Conductor |
49818 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
504196141442472 = 23 · 315 · 192 · 233 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 0 -2 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-59325,-5480523] |
[a1,a2,a3,a4,a6] |
j |
63964821056640625/1396665211752 |
j-invariant |
L |
1.2252540699927 |
L(r)(E,1)/r! |
Ω |
0.30631351767995 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49818bc1 |
Quadratic twists by: -19 |