Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
97020z |
Isogeny class |
Conductor |
97020 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-42436548000000 = -1 · 28 · 39 · 56 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- 4 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6993,-218106] |
[a1,a2,a3,a4,a6] |
Generators |
[354:3375:8] |
Generators of the group modulo torsion |
j |
153174672/171875 |
j-invariant |
L |
8.3689863249868 |
L(r)(E,1)/r! |
Ω |
0.3465261823755 |
Real period |
R |
2.0125911439733 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018331 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97020g1 97020c2 |
Quadratic twists by: -3 -7 |