Atkin-Lehner |
2- 3+ 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
103824bc |
Isogeny class |
Conductor |
103824 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-813794107392 = -1 · 213 · 39 · 72 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 4 7+ 3 -4 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,837,-42390] |
[a1,a2,a3,a4,a6] |
j |
804357/10094 |
j-invariant |
L |
3.508122227066 |
L(r)(E,1)/r! |
Ω |
0.43851526366604 |
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 |
12978t1 103824bd1 |
Quadratic twists by: -4 -3 |