Atkin-Lehner |
2- 3+ 5- 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
70110bd |
Isogeny class |
Conductor |
70110 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
1571638342500 = 22 · 39 · 54 · 19 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -2 6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5942,-164159] |
[a1,a2,a3,a4,a6] |
Generators |
[-362:997:8] |
Generators of the group modulo torsion |
j |
1178587523547/79847500 |
j-invariant |
L |
9.6691595703557 |
L(r)(E,1)/r! |
Ω |
0.54609533389651 |
Real period |
R |
2.2132489901289 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000028 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70110b1 |
Quadratic twists by: -3 |