Atkin-Lehner |
2- 3+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
12144v |
Isogeny class |
Conductor |
12144 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
5.2362472437906E+21 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 11+ -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-49840912,-135372438080] |
[a1,a2,a3,a4,a6] |
Generators |
[2245300794:394811992630:68921] |
Generators of the group modulo torsion |
j |
3342887139776073669969553/1278380674753560576 |
j-invariant |
L |
3.6359086999779 |
L(r)(E,1)/r! |
Ω |
0.056821543426212 |
Real period |
R |
10.664701217005 |
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 |
1518s2 48576dz2 36432cg2 |
Quadratic twists by: -4 8 -3 |