Atkin-Lehner |
3- 7+ 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42021a |
Isogeny class |
Conductor |
42021 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
35840 |
Modular degree for the optimal curve |
Δ |
-215872928523 = -1 · 313 · 7 · 23 · 292 |
Discriminant |
Eigenvalues |
0 3- 0 7+ 3 0 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-4980,-137102] |
[a1,a2,a3,a4,a6] |
j |
-18736316416000/296121987 |
j-invariant |
L |
1.1355713846377 |
L(r)(E,1)/r! |
Ω |
0.28389284611561 |
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 |
14007a1 |
Quadratic twists by: -3 |