Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
4650bi |
Isogeny class |
Conductor |
4650 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
17514225000000 = 26 · 36 · 58 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-10713,375417] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:759:1] |
Generators of the group modulo torsion |
j |
8702409880009/1120910400 |
j-invariant |
L |
6.110075786926 |
L(r)(E,1)/r! |
Ω |
0.66676333050773 |
Real period |
R |
0.50909916502267 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
37200bv2 13950m2 930a2 |
Quadratic twists by: -4 -3 5 |