Atkin-Lehner |
2- 3+ 5- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
33390be |
Isogeny class |
Conductor |
33390 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
-4487616000000 = -1 · 212 · 33 · 56 · 72 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 6 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-55997,5115269] |
[a1,a2,a3,a4,a6] |
j |
-719195495806443123/166208000000 |
j-invariant |
L |
6.0381345178691 |
L(r)(E,1)/r! |
Ω |
0.75476681473417 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
33390d3 |
Quadratic twists by: -3 |