Atkin-Lehner |
2- 5- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
70070cj |
Isogeny class |
Conductor |
70070 |
Conductor |
∏ cp |
1232 |
Product of Tamagawa factors cp |
deg |
2838528 |
Modular degree for the optimal curve |
Δ |
-7.166672601088E+19 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 11- 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,442420,-391199600] |
[a1,a2,a3,a4,a6] |
Generators |
[6360:-512780:1] |
Generators of the group modulo torsion |
j |
81402860249195471/609157120000000 |
j-invariant |
L |
8.1990409178797 |
L(r)(E,1)/r! |
Ω |
0.096715689297363 |
Real period |
R |
0.27524244420433 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001982 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1430f1 |
Quadratic twists by: -7 |