Atkin-Lehner |
3- 7- 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
118041m |
Isogeny class |
Conductor |
118041 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
259847246349999 = 36 · 79 · 112 · 73 |
Discriminant |
Eigenvalues |
-1 3- -2 7- 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-131419,-18331846] |
[a1,a2,a3,a4,a6] |
Generators |
[-211:227:1] |
Generators of the group modulo torsion |
j |
6220367350471/6439257 |
j-invariant |
L |
4.11787366542 |
L(r)(E,1)/r! |
Ω |
0.25076215315261 |
Real period |
R |
2.736905360702 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999467509 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118041c2 |
Quadratic twists by: -7 |