Atkin-Lehner |
2+ 7- 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
97328c |
Isogeny class |
Conductor |
97328 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1353248512 = -1 · 28 · 7 · 112 · 792 |
Discriminant |
Eigenvalues |
2+ 2 2 7- 11+ 0 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-252,2432] |
[a1,a2,a3,a4,a6] |
Generators |
[2080:6336:125] |
Generators of the group modulo torsion |
j |
-6940769488/5286127 |
j-invariant |
L |
12.336503130082 |
L(r)(E,1)/r! |
Ω |
1.3992711872455 |
Real period |
R |
4.4081887915483 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001765 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48664c2 |
Quadratic twists by: -4 |