Atkin-Lehner |
2+ 3- 5+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
30690f |
Isogeny class |
Conductor |
30690 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-4.55046887691E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11+ -6 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3873195,-4374135675] |
[a1,a2,a3,a4,a6] |
Generators |
[74775630:2696362185:24389] |
Generators of the group modulo torsion |
j |
-8814635019030000319921/6242069790000000000 |
j-invariant |
L |
2.2967913455386 |
L(r)(E,1)/r! |
Ω |
0.052180144050688 |
Real period |
R |
5.5020721658691 |
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 |
10230bg2 |
Quadratic twists by: -3 |