Atkin-Lehner |
2+ 3+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
15312b |
Isogeny class |
Conductor |
15312 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2224383102830592 = -1 · 211 · 36 · 116 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 4 -2 11+ -4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,23904,1759968] |
[a1,a2,a3,a4,a6] |
Generators |
[612:15660:1] |
Generators of the group modulo torsion |
j |
737542976796862/1086124561929 |
j-invariant |
L |
5.0709676466188 |
L(r)(E,1)/r! |
Ω |
0.31340196096062 |
Real period |
R |
2.0225494246572 |
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 |
7656i2 61248cp2 45936u2 |
Quadratic twists by: -4 8 -3 |