Atkin-Lehner |
2- 3- 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
17700w |
Isogeny class |
Conductor |
17700 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
5664000 = 28 · 3 · 53 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 3 -7 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-693,-7257] |
[a1,a2,a3,a4,a6] |
Generators |
[-988:45:64] |
Generators of the group modulo torsion |
j |
1151860736/177 |
j-invariant |
L |
6.0495101953788 |
L(r)(E,1)/r! |
Ω |
0.93039643822601 |
Real period |
R |
3.2510389909238 |
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 |
70800br1 53100w1 17700j1 |
Quadratic twists by: -4 -3 5 |