Atkin-Lehner |
2+ 5- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
103360bg |
Isogeny class |
Conductor |
103360 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-38234931200 = -1 · 214 · 52 · 173 · 19 |
Discriminant |
Eigenvalues |
2+ -1 5- 2 -6 -2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-565,10925] |
[a1,a2,a3,a4,a6] |
Generators |
[20:85:1] |
Generators of the group modulo torsion |
j |
-1219600384/2333675 |
j-invariant |
L |
5.1099780554681 |
L(r)(E,1)/r! |
Ω |
1.0278027391179 |
Real period |
R |
0.82862496774758 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999729031 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103360cq1 6460d1 |
Quadratic twists by: -4 8 |