Atkin-Lehner |
2+ 3+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
34800r |
Isogeny class |
Conductor |
34800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
33408000 = 210 · 32 · 53 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 -2 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-88,-128] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:12:1] [-3:10:1] |
Generators of the group modulo torsion |
j |
595508/261 |
j-invariant |
L |
6.6877981720956 |
L(r)(E,1)/r! |
Ω |
1.6212040450051 |
Real period |
R |
1.0313011173238 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17400bo1 104400cn1 34800bn1 |
Quadratic twists by: -4 -3 5 |