Atkin-Lehner |
2+ 3+ 5+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
96720b |
Isogeny class |
Conductor |
96720 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
17860608 |
Modular degree for the optimal curve |
Δ |
2.5006894873565E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 6 13+ 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-205746401,1135959803901] |
[a1,a2,a3,a4,a6] |
Generators |
[24456928530267364472413624503132675604:167835943625271024279089900789207195743:3083146999468162844141544085869733] |
Generators of the group modulo torsion |
j |
3762534494718362401842586624/97683183099861328125 |
j-invariant |
L |
6.5475989495814 |
L(r)(E,1)/r! |
Ω |
0.11081432917627 |
Real period |
R |
59.086212029189 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48360j1 |
Quadratic twists by: -4 |