Atkin-Lehner |
2- 7- 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
97328x |
Isogeny class |
Conductor |
97328 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
64047238439174144 = 216 · 76 · 113 · 792 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 11+ -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1826291,-949877070] |
[a1,a2,a3,a4,a6] |
Generators |
[3183:159642:1] |
Generators of the group modulo torsion |
j |
164465080097089324617/15636532822064 |
j-invariant |
L |
3.8938606460029 |
L(r)(E,1)/r! |
Ω |
0.12987020842964 |
Real period |
R |
4.9971181346669 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009817 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12166f2 |
Quadratic twists by: -4 |