Atkin-Lehner |
3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
124215bd |
Isogeny class |
Conductor |
124215 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1.5889191017107E+21 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1738838,-1701970031] |
[a1,a2,a3,a4,a6] |
Generators |
[27676874018000:1697047089582527:8000000000] |
Generators of the group modulo torsion |
j |
1023887723039/2798036865 |
j-invariant |
L |
5.1348799897258 |
L(r)(E,1)/r! |
Ω |
0.077264689178206 |
Real period |
R |
16.614575250155 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000038173 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2535f4 9555e4 |
Quadratic twists by: -7 13 |