Atkin-Lehner |
7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
112651i |
Isogeny class |
Conductor |
112651 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
871078550878613 = 73 · 117 · 194 |
Discriminant |
Eigenvalues |
1 -2 0 7- 11- 6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-43321,3163059] |
[a1,a2,a3,a4,a6] |
Generators |
[1686:13915:8] |
Generators of the group modulo torsion |
j |
14796346375/1433531 |
j-invariant |
L |
4.268216079404 |
L(r)(E,1)/r! |
Ω |
0.48570708030594 |
Real period |
R |
4.3938170411578 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999683369 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112651m2 10241g2 |
Quadratic twists by: -7 -11 |