Atkin-Lehner |
2- 3- 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
21252m |
Isogeny class |
Conductor |
21252 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-31748764776309504 = -1 · 28 · 314 · 7 · 115 · 23 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 11+ 6 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-34749,8916399] |
[a1,a2,a3,a4,a6] |
j |
-18126884936015872/124018612407459 |
j-invariant |
L |
4.4593605264665 |
L(r)(E,1)/r! |
Ω |
0.31852575189046 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85008bp1 63756bk1 |
Quadratic twists by: -4 -3 |