Atkin-Lehner |
2- 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
31920bt |
Isogeny class |
Conductor |
31920 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
Δ |
-4.1992473883815E+28 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -6 -2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-243947576,-9967805727660] |
[a1,a2,a3,a4,a6] |
Generators |
[25324:309054:1] |
Generators of the group modulo torsion |
j |
-391970413583429733188386489/10252068819290850263040000 |
j-invariant |
L |
5.9853820043572 |
L(r)(E,1)/r! |
Ω |
0.015682143425493 |
Real period |
R |
6.3611436289454 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3990c2 127680es2 95760fn2 |
Quadratic twists by: -4 8 -3 |