Atkin-Lehner |
2+ 3- 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
97128f |
Isogeny class |
Conductor |
97128 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
8912949011629056 = 210 · 314 · 192 · 712 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-52059,519590] |
[a1,a2,a3,a4,a6] |
j |
20901800183908/11939714361 |
j-invariant |
L |
2.8217369788257 |
L(r)(E,1)/r! |
Ω |
0.35271714224413 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
32376e2 |
Quadratic twists by: -3 |