Atkin-Lehner |
2+ 3+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
21450l |
Isogeny class |
Conductor |
21450 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
955708182000000 = 27 · 32 · 56 · 11 · 136 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 11- 13- 8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-184300,-30494000] |
[a1,a2,a3,a4,a6] |
Generators |
[-251:301:1] |
Generators of the group modulo torsion |
j |
44308125149913793/61165323648 |
j-invariant |
L |
2.6818561517515 |
L(r)(E,1)/r! |
Ω |
0.2304379043075 |
Real period |
R |
1.9396810027202 |
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 |
64350eb2 858l2 |
Quadratic twists by: -3 5 |