Atkin-Lehner |
2+ 3+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
29760b |
Isogeny class |
Conductor |
29760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
15115223040 = 220 · 3 · 5 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 4 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19681281,-33600317439] |
[a1,a2,a3,a4,a6] |
Generators |
[3988614252485093:627481586845268140:155981516887] |
Generators of the group modulo torsion |
j |
3216206300355197383681/57660 |
j-invariant |
L |
3.8324135107938 |
L(r)(E,1)/r! |
Ω |
0.071678055031899 |
Real period |
R |
26.733520525133 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29760cm6 930o5 89280ca6 |
Quadratic twists by: -4 8 -3 |