Atkin-Lehner |
3- 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
10251i |
Isogeny class |
Conductor |
10251 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
16077699153 = 36 · 173 · 672 |
Discriminant |
Eigenvalues |
1 3- 4 -2 -2 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-720,-4077] |
[a1,a2,a3,a4,a6] |
Generators |
[44842:477399:343] |
Generators of the group modulo torsion |
j |
56667352321/22054457 |
j-invariant |
L |
6.443527361954 |
L(r)(E,1)/r! |
Ω |
0.95264329911771 |
Real period |
R |
6.7638405349847 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1139b1 |
Quadratic twists by: -3 |