Atkin-Lehner |
2- 3+ 5- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
96720cn |
Isogeny class |
Conductor |
96720 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1741824 |
Modular degree for the optimal curve |
Δ |
1.4786783870976E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 2 13- 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-635120,61252032] |
[a1,a2,a3,a4,a6] |
Generators |
[5154:365610:1] |
Generators of the group modulo torsion |
j |
6917223603906560881/3610054656000000 |
j-invariant |
L |
7.6910303990364 |
L(r)(E,1)/r! |
Ω |
0.19506044429122 |
Real period |
R |
6.571493293035 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999878552 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12090bk1 |
Quadratic twists by: -4 |