Atkin-Lehner |
2+ 3+ 5+ 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
17430a |
Isogeny class |
Conductor |
17430 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
2677248000 = 212 · 32 · 53 · 7 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-13638,-618732] |
[a1,a2,a3,a4,a6] |
Generators |
[30220:385818:125] |
Generators of the group modulo torsion |
j |
280559853721721449/2677248000 |
j-invariant |
L |
3.0371279817122 |
L(r)(E,1)/r! |
Ω |
0.44178196796516 |
Real period |
R |
6.8747214733576 |
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 |
52290ch1 87150cv1 122010bh1 |
Quadratic twists by: -3 5 -7 |