Atkin-Lehner |
2- 29+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
98368f |
Isogeny class |
Conductor |
98368 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-154820214784 = -1 · 216 · 292 · 532 |
Discriminant |
Eigenvalues |
2- 0 2 -4 2 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1964,38480] |
[a1,a2,a3,a4,a6] |
j |
-12784043268/2362369 |
j-invariant |
L |
1.9708101647663 |
L(r)(E,1)/r! |
Ω |
0.98540513206239 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98368b2 24592c2 |
Quadratic twists by: -4 8 |