Atkin-Lehner |
2- 3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
97650ek |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
Δ |
1.1036036134809E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-73823405,244158560597] |
[a1,a2,a3,a4,a6] |
Generators |
[5145:-25172:1] |
Generators of the group modulo torsion |
j |
3906235026100294102657/968870113344 |
j-invariant |
L |
9.9046158964128 |
L(r)(E,1)/r! |
Ω |
0.18130363500116 |
Real period |
R |
1.1381248041101 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021249 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
32550bc4 3906h4 |
Quadratic twists by: -3 5 |