Atkin-Lehner |
2- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28322w |
Isogeny class |
Conductor |
28322 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
3808062832 = 24 · 77 · 172 |
Discriminant |
Eigenvalues |
2- 1 -4 7- 0 2 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-58605,5455841] |
[a1,a2,a3,a4,a6] |
Generators |
[130:131:1] |
Generators of the group modulo torsion |
j |
654699641761/112 |
j-invariant |
L |
7.0945827852568 |
L(r)(E,1)/r! |
Ω |
1.0982596707871 |
Real period |
R |
0.80748011763149 |
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 |
4046k1 28322bj1 |
Quadratic twists by: -7 17 |