Atkin-Lehner |
3+ 7- 23+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
85491c |
Isogeny class |
Conductor |
85491 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-133668550428584283 = -1 · 39 · 7 · 23 · 596 |
Discriminant |
Eigenvalues |
-1 3+ -4 7- 4 0 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-92342,-20618360] |
[a1,a2,a3,a4,a6] |
j |
-4424109220278747/6791065916201 |
j-invariant |
L |
0.51957351718482 |
L(r)(E,1)/r! |
Ω |
0.12989336608272 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85491d2 |
Quadratic twists by: -3 |