Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040cf |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3.2015914065798E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20230401,-22041034401] |
[a1,a2,a3,a4,a6] |
Generators |
[181013541227522:10010816098920195:27352523197] |
Generators of the group modulo torsion |
j |
29689921233686449/10380965400750 |
j-invariant |
L |
7.3597136575065 |
L(r)(E,1)/r! |
Ω |
0.073228591847697 |
Real period |
R |
25.125819955675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47040ec8 1470m7 6720l7 |
Quadratic twists by: -4 8 -7 |