Atkin-Lehner |
2+ 3- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
112554m |
Isogeny class |
Conductor |
112554 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
9.6594209873289E+24 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 0 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-180527463,-921506808195] |
[a1,a2,a3,a4,a6] |
Generators |
[-244416370394347491:2879827726202135529:33601334121109] |
Generators of the group modulo torsion |
j |
406252423764498316055149/6031058056677163008 |
j-invariant |
L |
4.6695470129632 |
L(r)(E,1)/r! |
Ω |
0.041224392446275 |
Real period |
R |
28.317864196591 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000054482 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37518t3 112554bb3 |
Quadratic twists by: -3 13 |