Atkin-Lehner |
2- 3+ 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
30450bw |
Isogeny class |
Conductor |
30450 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-6.1385568061154E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-222094963,-1274611241719] |
[a1,a2,a3,a4,a6] |
Generators |
[2086300438323574206686:-203710688797926028105843:94416406650701864] |
Generators of the group modulo torsion |
j |
-77538931754499613974717289/39286763559138375000 |
j-invariant |
L |
7.1687403680182 |
L(r)(E,1)/r! |
Ω |
0.019553372925144 |
Real period |
R |
30.552019488155 |
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 |
91350ba4 6090j4 |
Quadratic twists by: -3 5 |