Atkin-Lehner |
2- 3+ 7+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
108528p |
Isogeny class |
Conductor |
108528 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-48312135721156608 = -1 · 227 · 32 · 73 · 17 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 0 -4 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,54872,9328240] |
[a1,a2,a3,a4,a6] |
Generators |
[580:15360:1] |
Generators of the group modulo torsion |
j |
4460753439308375/11794955010048 |
j-invariant |
L |
4.2053439128178 |
L(r)(E,1)/r! |
Ω |
0.25044058157461 |
Real period |
R |
2.0989728832804 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999905673 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13566k2 |
Quadratic twists by: -4 |