Atkin-Lehner |
2- 3+ 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
17700h |
Isogeny class |
Conductor |
17700 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
7920 |
Modular degree for the optimal curve |
Δ |
-1670880000 = -1 · 28 · 3 · 54 · 592 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 0 -1 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-733,8137] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:118:1] |
Generators of the group modulo torsion |
j |
-272588800/10443 |
j-invariant |
L |
4.7624922125566 |
L(r)(E,1)/r! |
Ω |
1.4856559088112 |
Real period |
R |
0.53427492690948 |
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 |
70800di1 53100bd1 17700s1 |
Quadratic twists by: -4 -3 5 |