Atkin-Lehner |
3- 7- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
33201j |
Isogeny class |
Conductor |
33201 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
699893448093 = 313 · 72 · 172 · 31 |
Discriminant |
Eigenvalues |
-1 3- 2 7- 0 0 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3254234,-2258732604] |
[a1,a2,a3,a4,a6] |
j |
5228082033188006033497/960073317 |
j-invariant |
L |
2.0232981090984 |
L(r)(E,1)/r! |
Ω |
0.11240545050546 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11067d2 |
Quadratic twists by: -3 |