Atkin-Lehner |
2- 3+ 17- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
7242h |
Isogeny class |
Conductor |
7242 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
2240 |
Modular degree for the optimal curve |
Δ |
-7879296 = -1 · 27 · 3 · 172 · 71 |
Discriminant |
Eigenvalues |
2- 3+ -3 1 -3 -2 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-17,-145] |
[a1,a2,a3,a4,a6] |
Generators |
[11:28:1] |
Generators of the group modulo torsion |
j |
-545338513/7879296 |
j-invariant |
L |
4.2830468006958 |
L(r)(E,1)/r! |
Ω |
1.0010704524565 |
Real period |
R |
0.30560477894907 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57936bd1 21726l1 123114u1 |
Quadratic twists by: -4 -3 17 |