Atkin-Lehner |
2- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
30800bh |
Isogeny class |
Conductor |
30800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
148746752000000 = 215 · 56 · 74 · 112 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2065475,1142557250] |
[a1,a2,a3,a4,a6] |
Generators |
[839:462:1] |
Generators of the group modulo torsion |
j |
15226621995131793/2324168 |
j-invariant |
L |
4.511853685774 |
L(r)(E,1)/r! |
Ω |
0.45303296910178 |
Real period |
R |
2.4898042711547 |
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 |
3850f3 123200dx4 1232j4 |
Quadratic twists by: -4 8 5 |