Atkin-Lehner |
2- 3- 5+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
70350dc |
Isogeny class |
Conductor |
70350 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
466944 |
Modular degree for the optimal curve |
Δ |
48260100000000 = 28 · 3 · 58 · 74 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-250688,-48331008] |
[a1,a2,a3,a4,a6] |
Generators |
[612:4944:1] |
Generators of the group modulo torsion |
j |
111507590364239161/3088646400 |
j-invariant |
L |
12.9066255879 |
L(r)(E,1)/r! |
Ω |
0.21336190537434 |
Real period |
R |
1.8903658031945 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999459 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14070a1 |
Quadratic twists by: 5 |