Atkin-Lehner |
2- 3+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
35490cl |
Isogeny class |
Conductor |
35490 |
Conductor |
∏ cp |
176 |
Product of Tamagawa factors cp |
deg |
3548160 |
Modular degree for the optimal curve |
Δ |
3.8075183259728E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -2 13+ 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-12706015,17172652037] |
[a1,a2,a3,a4,a6] |
Generators |
[1595:30306:1] |
Generators of the group modulo torsion |
j |
46999332667159819129/788827220213760 |
j-invariant |
L |
7.7282754406606 |
L(r)(E,1)/r! |
Ω |
0.13991349131102 |
Real period |
R |
1.2553658836295 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106470z1 2730e1 |
Quadratic twists by: -3 13 |