Atkin-Lehner |
2+ 3- 5+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
97680k |
Isogeny class |
Conductor |
97680 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
79872 |
Modular degree for the optimal curve |
Δ |
10408780800 = 210 · 33 · 52 · 11 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11+ -2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2376,43524] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:222:1] [-46:240:1] |
Generators of the group modulo torsion |
j |
1449258430756/10164825 |
j-invariant |
L |
12.09986554318 |
L(r)(E,1)/r! |
Ω |
1.2915122709604 |
Real period |
R |
0.78072980903195 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999992958 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48840n1 |
Quadratic twists by: -4 |