Atkin-Lehner |
2- 3+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
23664k |
Isogeny class |
Conductor |
23664 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
51753168 = 24 · 38 · 17 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 0 6 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-137,-468] |
[a1,a2,a3,a4,a6] |
Generators |
[-13988:22580:2197] |
Generators of the group modulo torsion |
j |
17903239168/3234573 |
j-invariant |
L |
5.2167035221735 |
L(r)(E,1)/r! |
Ω |
1.4119483540076 |
Real period |
R |
7.3893687504455 |
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 |
5916c1 94656cf1 70992bb1 |
Quadratic twists by: -4 8 -3 |