Atkin-Lehner |
3+ 5+ 7- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
33915c |
Isogeny class |
Conductor |
33915 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
718892015625 = 32 · 56 · 72 · 172 · 192 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 4 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-94208,-11168877] |
[a1,a2,a3,a4,a6] |
Generators |
[473298:21694595:216] |
Generators of the group modulo torsion |
j |
92468596758166846729/718892015625 |
j-invariant |
L |
5.3855210275874 |
L(r)(E,1)/r! |
Ω |
0.27250671660695 |
Real period |
R |
9.8814464000077 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
101745bn2 |
Quadratic twists by: -3 |