Atkin-Lehner |
2+ 3- 5- 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
64890bj |
Isogeny class |
Conductor |
64890 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
2654208 |
Modular degree for the optimal curve |
Δ |
1.303838825625E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1286559,117263565] |
[a1,a2,a3,a4,a6] |
Generators |
[-114:16257:1] [-914:23457:1] |
Generators of the group modulo torsion |
j |
323061715806840542449/178853062500000000 |
j-invariant |
L |
7.4895638854815 |
L(r)(E,1)/r! |
Ω |
0.1605329606211 |
Real period |
R |
1.943932016753 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21630ba1 |
Quadratic twists by: -3 |