Atkin-Lehner |
2- 3- 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
42480bf |
Isogeny class |
Conductor |
42480 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.0550742953494E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-36092883,-83445769582] |
[a1,a2,a3,a4,a6] |
Generators |
[244900180747984619:25859612981085278400:17339790140387] |
Generators of the group modulo torsion |
j |
1741409690685460393681/353342246760000 |
j-invariant |
L |
6.1411615291878 |
L(r)(E,1)/r! |
Ω |
0.061595565842815 |
Real period |
R |
24.92533936963 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5310d4 14160r4 |
Quadratic twists by: -4 -3 |