Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
12480cc |
Isogeny class |
Conductor |
12480 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
8.2346496857783E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6845985,-5333660703] |
[a1,a2,a3,a4,a6] |
Generators |
[597994951959677660773390556922:45588348859359410384800471445151:86484436897731708520556936] |
Generators of the group modulo torsion |
j |
1082883335268084577352/251301565117746585 |
j-invariant |
L |
3.9054187627702 |
L(r)(E,1)/r! |
Ω |
0.094895369091489 |
Real period |
R |
41.154998396233 |
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 |
12480cu3 6240l3 37440dr4 62400ha4 |
Quadratic twists by: -4 8 -3 5 |