Atkin-Lehner |
3+ 5- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
31605h |
Isogeny class |
Conductor |
31605 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2.5355090784692E+22 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- -4 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7389617,-1046397414] |
[a1,a2,a3,a4,a6] |
Generators |
[630063277498122499200:-31918535490858051088743:146770154877878272] |
Generators of the group modulo torsion |
j |
379316166722917909129/215514715677076935 |
j-invariant |
L |
5.0183895196345 |
L(r)(E,1)/r! |
Ω |
0.098907504039694 |
Real period |
R |
25.36910403492 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94815m4 4515f3 |
Quadratic twists by: -3 -7 |