Atkin-Lehner |
2- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
1550f |
Isogeny class |
Conductor |
1550 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
3960 |
Modular degree for the optimal curve |
Δ |
-620000000000 = -1 · 211 · 510 · 31 |
Discriminant |
Eigenvalues |
2- 0 5+ 5 5 7 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3555,-89053] |
[a1,a2,a3,a4,a6] |
j |
-508660425/63488 |
j-invariant |
L |
3.3770671218852 |
L(r)(E,1)/r! |
Ω |
0.30700610198957 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12400u1 49600f1 13950s1 1550e1 |
Quadratic twists by: -4 8 -3 5 |