Atkin-Lehner |
2+ 3- 5- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99450bs |
Isogeny class |
Conductor |
99450 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
4147200 |
Modular degree for the optimal curve |
Δ |
-3836003276137500000 = -1 · 25 · 37 · 58 · 134 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 2 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11261367,-14543195459] |
[a1,a2,a3,a4,a6] |
j |
-554637854190420625/13470738528 |
j-invariant |
L |
1.977936732367 |
L(r)(E,1)/r! |
Ω |
0.041207014105786 |
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 |
33150bv1 99450cq1 |
Quadratic twists by: -3 5 |