Atkin-Lehner |
2+ 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
68208v |
Isogeny class |
Conductor |
68208 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
2073600 |
Modular degree for the optimal curve |
Δ |
-2.3999857316273E+19 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 3 5 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1022744,462307572] |
[a1,a2,a3,a4,a6] |
Generators |
[268:-14406:1] |
Generators of the group modulo torsion |
j |
-491028574078226/99607139289 |
j-invariant |
L |
7.3481368109192 |
L(r)(E,1)/r! |
Ω |
0.20415197774718 |
Real period |
R |
0.89983659364169 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001728 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34104f1 9744b1 |
Quadratic twists by: -4 -7 |