Atkin-Lehner |
2- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
13690k |
Isogeny class |
Conductor |
13690 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
351247945392100 = 22 · 52 · 378 |
Discriminant |
Eigenvalues |
2- 0 5- 0 -4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-34482,-2285011] |
[a1,a2,a3,a4,a6] |
Generators |
[4295681593262696:89723754069653653:8086711413248] |
Generators of the group modulo torsion |
j |
1767172329/136900 |
j-invariant |
L |
7.0587633817288 |
L(r)(E,1)/r! |
Ω |
0.35206922566173 |
Real period |
R |
20.049362077761 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
109520s2 123210x2 68450a2 370a2 |
Quadratic twists by: -4 -3 5 37 |