Atkin-Lehner |
2- 3+ 7+ 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
99918r |
Isogeny class |
Conductor |
99918 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
-104959174997634048 = -1 · 210 · 39 · 72 · 134 · 612 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 0 13- 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,106864,-7911053] |
[a1,a2,a3,a4,a6] |
Generators |
[269:-6479:1] |
Generators of the group modulo torsion |
j |
6856942505763141/5332478534656 |
j-invariant |
L |
8.4290071253255 |
L(r)(E,1)/r! |
Ω |
0.18665262533146 |
Real period |
R |
0.56448490111548 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029744 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99918b2 |
Quadratic twists by: -3 |