Atkin-Lehner |
3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
17745d |
Isogeny class |
Conductor |
17745 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-32428237496484375 = -1 · 33 · 58 · 72 · 137 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ -4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,25347,8534232] |
[a1,a2,a3,a4,a6] |
Generators |
[1708:70126:1] |
Generators of the group modulo torsion |
j |
373092501599/6718359375 |
j-invariant |
L |
3.6837928797585 |
L(r)(E,1)/r! |
Ω |
0.27546568338663 |
Real period |
R |
3.3432411929403 |
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 |
53235be1 88725bt1 124215cw1 1365b1 |
Quadratic twists by: -3 5 -7 13 |