Atkin-Lehner |
2+ 31- 59- |
Signs for the Atkin-Lehner involutions |
Class |
117056i |
Isogeny class |
Conductor |
117056 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-2.446448516715E+22 |
Discriminant |
Eigenvalues |
2+ 2 0 -1 3 -5 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3160127,7206959553] |
[a1,a2,a3,a4,a6] |
Generators |
[274053:28122704:27] |
Generators of the group modulo torsion |
j |
13313653880668607375/93324604672050688 |
j-invariant |
L |
9.3679665318496 |
L(r)(E,1)/r! |
Ω |
0.087004368943549 |
Real period |
R |
2.9908991371152 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021246 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117056m2 3658d2 |
Quadratic twists by: -4 8 |