Atkin-Lehner |
2+ 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
2440b |
Isogeny class |
Conductor |
2440 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
Δ |
354657812500000000 = 28 · 514 · 613 |
Discriminant |
Eigenvalues |
2+ 0 5- 2 4 -2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1236607,528516306] |
[a1,a2,a3,a4,a6] |
j |
816918720558569514576/1385382080078125 |
j-invariant |
L |
2.1193374472202 |
L(r)(E,1)/r! |
Ω |
0.30276249246002 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4880b2 19520g2 21960s2 12200h2 |
Quadratic twists by: -4 8 -3 5 |