Atkin-Lehner |
2+ 5- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
70070bb |
Isogeny class |
Conductor |
70070 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
8467200 |
Modular degree for the optimal curve |
Δ |
-4.4228394886311E+21 |
Discriminant |
Eigenvalues |
2+ -3 5- 7- 11- 13- -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3050749,3801355333] |
[a1,a2,a3,a4,a6] |
Generators |
[4349:267595:1] |
Generators of the group modulo torsion |
j |
-77814559775059983/109602085598720 |
j-invariant |
L |
2.4697547911608 |
L(r)(E,1)/r! |
Ω |
0.12422744280002 |
Real period |
R |
0.47335503460248 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003171 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70070m1 |
Quadratic twists by: -7 |