Atkin-Lehner |
2+ 3- 5+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
97350u |
Isogeny class |
Conductor |
97350 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-4163464800 = -1 · 25 · 36 · 52 · 112 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 11+ 6 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-161,3188] |
[a1,a2,a3,a4,a6] |
Generators |
[6:-53:1] |
Generators of the group modulo torsion |
j |
-18296917105/166538592 |
j-invariant |
L |
6.4909578147436 |
L(r)(E,1)/r! |
Ω |
1.1851112848315 |
Real period |
R |
0.45642393050955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009514 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97350cb1 |
Quadratic twists by: 5 |