Atkin-Lehner |
2+ 3- 7+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
13398l |
Isogeny class |
Conductor |
13398 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
18650016 = 25 · 32 · 7 · 11 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11- -6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-13140,-580814] |
[a1,a2,a3,a4,a6] |
Generators |
[86448:4845370:27] |
Generators of the group modulo torsion |
j |
250877836417618873/18650016 |
j-invariant |
L |
4.5881229565635 |
L(r)(E,1)/r! |
Ω |
0.44591766234764 |
Real period |
R |
10.2891707236 |
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 |
107184bq2 40194bm2 93786r2 |
Quadratic twists by: -4 -3 -7 |