Atkin-Lehner |
2- 3- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
61488bh |
Isogeny class |
Conductor |
61488 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1.3482074263672E+20 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 0 -4 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1260501,-124013734] |
[a1,a2,a3,a4,a6] |
Generators |
[127:6174:1] [149:8192:1] |
Generators of the group modulo torsion |
j |
74176411544797463/45151193923584 |
j-invariant |
L |
8.0546172841003 |
L(r)(E,1)/r! |
Ω |
0.10701568089815 |
Real period |
R |
4.7041104259808 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999967 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7686x2 20496l2 |
Quadratic twists by: -4 -3 |