Atkin-Lehner |
2- 3- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
2442h |
Isogeny class |
Conductor |
2442 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
35377817158176768 = 212 · 32 · 1110 · 37 |
Discriminant |
Eigenvalues |
2- 3- 0 4 11+ 4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-818343,284726601] |
[a1,a2,a3,a4,a6] |
j |
60607987148648054544625/35377817158176768 |
j-invariant |
L |
4.3514863873324 |
L(r)(E,1)/r! |
Ω |
0.36262386561103 |
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 |
19536x2 78144n2 7326d2 61050e2 |
Quadratic twists by: -4 8 -3 5 |