Atkin-Lehner |
2+ 3+ 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
3570a |
Isogeny class |
Conductor |
3570 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-1782829440000 = -1 · 210 · 34 · 54 · 7 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 2 4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1683,-70227] |
[a1,a2,a3,a4,a6] |
Generators |
[86:613:1] |
Generators of the group modulo torsion |
j |
-527690404915129/1782829440000 |
j-invariant |
L |
2.072739029983 |
L(r)(E,1)/r! |
Ω |
0.34268825195626 |
Real period |
R |
3.0242341518138 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28560dk1 114240ed1 10710bj1 17850cd1 |
Quadratic twists by: -4 8 -3 5 |