Atkin-Lehner |
2- 3+ 5- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
17430bd |
Isogeny class |
Conductor |
17430 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
-819907200 = -1 · 27 · 32 · 52 · 73 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -5 0 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,220,-475] |
[a1,a2,a3,a4,a6] |
Generators |
[33:-227:1] |
Generators of the group modulo torsion |
j |
1177249106879/819907200 |
j-invariant |
L |
6.908237169392 |
L(r)(E,1)/r! |
Ω |
0.89691397991763 |
Real period |
R |
0.091693206399559 |
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 |
52290w1 87150bc1 122010cu1 |
Quadratic twists by: -3 5 -7 |