Atkin-Lehner |
2- 3+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
71736i |
Isogeny class |
Conductor |
71736 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
455742107856 = 24 · 34 · 78 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-48967,-4154240] |
[a1,a2,a3,a4,a6] |
Generators |
[-34982935:3080349:274625] |
Generators of the group modulo torsion |
j |
6898185213952/242109 |
j-invariant |
L |
6.3849784360352 |
L(r)(E,1)/r! |
Ω |
0.32094000555973 |
Real period |
R |
9.9473084139991 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001016 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10248g1 |
Quadratic twists by: -7 |