Atkin-Lehner |
2- 3- 5+ 29+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
80910q |
Isogeny class |
Conductor |
80910 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
9093120 |
Modular degree for the optimal curve |
Δ |
37447374643200000 = 216 · 38 · 55 · 29 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-146966198,-685726655803] |
[a1,a2,a3,a4,a6] |
Generators |
[108927:35662837:1] |
Generators of the group modulo torsion |
j |
481557951728286801176142361/51368140800000 |
j-invariant |
L |
10.60907991624 |
L(r)(E,1)/r! |
Ω |
0.043360590716826 |
Real period |
R |
7.6459693452078 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991412 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26970g1 |
Quadratic twists by: -3 |