Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
3520bb |
Isogeny class |
Conductor |
3520 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
17600 = 26 · 52 · 11 |
Discriminant |
Eigenvalues |
2- -2 5+ 4 11- -4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16,-30] |
[a1,a2,a3,a4,a6] |
Generators |
[17:70:1] |
Generators of the group modulo torsion |
j |
7529536/275 |
j-invariant |
L |
2.5866254430569 |
L(r)(E,1)/r! |
Ω |
2.3801555932088 |
Real period |
R |
2.1734927333635 |
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 |
3520s1 1760e2 31680dp1 17600cl1 |
Quadratic twists by: -4 8 -3 5 |