Atkin-Lehner |
3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
17745l |
Isogeny class |
Conductor |
17745 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
97344 |
Modular degree for the optimal curve |
Δ |
-43425424932435 = -1 · 32 · 5 · 7 · 1310 |
Discriminant |
Eigenvalues |
2 3+ 5- 7- -3 13+ 5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-9520,481041] |
[a1,a2,a3,a4,a6] |
Generators |
[-7292:17335:64] |
Generators of the group modulo torsion |
j |
-692224/315 |
j-invariant |
L |
8.8631304423224 |
L(r)(E,1)/r! |
Ω |
0.59945724650326 |
Real period |
R |
7.3926293276314 |
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 |
53235w1 88725bp1 124215cg1 17745f1 |
Quadratic twists by: -3 5 -7 13 |