Atkin-Lehner |
2+ 3- 5+ 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
117810w |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2.9538526721301E+34 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- 2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-37060780995,-8713050476005179] |
[a1,a2,a3,a4,a6] |
Generators |
[8258336224161472812817674440647257996954138784761944737125:3710810106678598556926291718792370167006520421902002501088021:22463475931173883683371947965091148792653376861328125] |
Generators of the group modulo torsion |
j |
-7722179370452887722568391262588721/40519241044308010298100228750000 |
j-invariant |
L |
3.4290217567448 |
L(r)(E,1)/r! |
Ω |
0.0048999500959038 |
Real period |
R |
87.475935714409 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39270ct2 |
Quadratic twists by: -3 |