Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
113568co |
Isogeny class |
Conductor |
113568 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
231412514790912 = 29 · 3 · 74 · 137 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 4 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-73064,-7590660] |
[a1,a2,a3,a4,a6] |
Generators |
[-4451370:897281:27000] |
Generators of the group modulo torsion |
j |
17454600584/93639 |
j-invariant |
L |
6.5724239755756 |
L(r)(E,1)/r! |
Ω |
0.29047814825601 |
Real period |
R |
11.313112562448 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988929 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113568u3 8736j2 |
Quadratic twists by: -4 13 |