Atkin-Lehner |
2+ 3- 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
31878q |
Isogeny class |
Conductor |
31878 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
-111955886374413312 = -1 · 210 · 39 · 73 · 113 · 233 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11- -1 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-274371542037,55316825404416117] |
[a1,a2,a3,a4,a6] |
Generators |
[-461894:289201475:1] |
Generators of the group modulo torsion |
j |
-3133382230165522315000208250857964625/153574604080128 |
j-invariant |
L |
4.4276217645505 |
L(r)(E,1)/r! |
Ω |
0.053931713899249 |
Real period |
R |
6.8414009810349 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
10626p2 |
Quadratic twists by: -3 |