Atkin-Lehner |
2- 3+ 5+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
97350bs |
Isogeny class |
Conductor |
97350 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
2322432 |
Modular degree for the optimal curve |
Δ |
-8282355468750000000 = -1 · 27 · 33 · 515 · 113 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 11- -5 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-118063,-139390219] |
[a1,a2,a3,a4,a6] |
Generators |
[7795:683602:1] |
Generators of the group modulo torsion |
j |
-11647839013779241/530070750000000 |
j-invariant |
L |
8.4478900038302 |
L(r)(E,1)/r! |
Ω |
0.10194237542616 |
Real period |
R |
0.98653890100044 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000745 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19470p1 |
Quadratic twists by: 5 |