Atkin-Lehner |
2- 3+ 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
17700i |
Isogeny class |
Conductor |
17700 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
1431036099378000 = 24 · 310 · 53 · 594 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 -4 -4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-92613,-10663578] |
[a1,a2,a3,a4,a6] |
Generators |
[687:15795:1] |
Generators of the group modulo torsion |
j |
43925252149870592/715518049689 |
j-invariant |
L |
4.5130790728432 |
L(r)(E,1)/r! |
Ω |
0.27394292377942 |
Real period |
R |
2.745753878569 |
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 |
70800dj1 53100be1 17700v1 |
Quadratic twists by: -4 -3 5 |