Atkin-Lehner |
3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121275dg |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1734270032262796875 = 36 · 56 · 712 · 11 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 11+ 4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-568017,152247766] |
[a1,a2,a3,a4,a6] |
Generators |
[-726:13838:1] |
Generators of the group modulo torsion |
j |
15124197817/1294139 |
j-invariant |
L |
7.3374070688387 |
L(r)(E,1)/r! |
Ω |
0.2587711133833 |
Real period |
R |
3.5443519139354 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999194653 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13475i2 4851k2 17325x2 |
Quadratic twists by: -3 5 -7 |