Atkin-Lehner |
2- 3- 5+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
96720ct |
Isogeny class |
Conductor |
96720 |
Conductor |
∏ cp |
46 |
Product of Tamagawa factors cp |
deg |
59536512 |
Modular degree for the optimal curve |
Δ |
-6.3605150045275E+25 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 3 13+ -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1594000021,24497651749955] |
[a1,a2,a3,a4,a6] |
Generators |
[25934:775899:1] |
Generators of the group modulo torsion |
j |
-109352504158564666761216262144/15528601085272278046875 |
j-invariant |
L |
9.0580130727114 |
L(r)(E,1)/r! |
Ω |
0.059959361745586 |
Real period |
R |
3.2841131441126 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999820407 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6045a1 |
Quadratic twists by: -4 |