Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
99372j |
Isogeny class |
Conductor |
99372 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1814400 |
Modular degree for the optimal curve |
Δ |
10455837160348944 = 24 · 34 · 710 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- -4 13+ -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2569870,1586526733] |
[a1,a2,a3,a4,a6] |
Generators |
[919:351:1] |
Generators of the group modulo torsion |
j |
14540641024/81 |
j-invariant |
L |
4.2987308123768 |
L(r)(E,1)/r! |
Ω |
0.36068432752535 |
Real period |
R |
1.9863772206252 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000046943 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99372be1 99372n1 |
Quadratic twists by: -7 13 |