Atkin-Lehner |
3- 5+ 29+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
69165h |
Isogeny class |
Conductor |
69165 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
22880753829461025 = 318 · 52 · 292 · 532 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 4 -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-76590,3706375] |
[a1,a2,a3,a4,a6] |
j |
68157802849148641/31386493593225 |
j-invariant |
L |
0.68121250779135 |
L(r)(E,1)/r! |
Ω |
0.34060626726563 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
23055f2 |
Quadratic twists by: -3 |