Atkin-Lehner |
2+ 5+ 41- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
21730a |
Isogeny class |
Conductor |
21730 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-356745815696656000 = -1 · 27 · 53 · 414 · 534 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 -4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13040,-28739200] |
[a1,a2,a3,a4,a6] |
j |
-245230915878640089/356745815696656000 |
j-invariant |
L |
1.0943307885914 |
L(r)(E,1)/r! |
Ω |
0.13679134857393 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108650m3 |
Quadratic twists by: 5 |