Atkin-Lehner |
2+ 3+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
69384g |
Isogeny class |
Conductor |
69384 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
9403727864832 = 210 · 33 · 78 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -4 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-25104,-1515492] |
[a1,a2,a3,a4,a6] |
Generators |
[761:20482:1] |
Generators of the group modulo torsion |
j |
14523844612/78057 |
j-invariant |
L |
3.6436170850228 |
L(r)(E,1)/r! |
Ω |
0.37940487317751 |
Real period |
R |
4.8017531441867 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989655 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9912h1 |
Quadratic twists by: -7 |