Atkin-Lehner |
2+ 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
103360b |
Isogeny class |
Conductor |
103360 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-8075000000 = -1 · 26 · 58 · 17 · 19 |
Discriminant |
Eigenvalues |
2+ 1 5+ 4 2 2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1221,-17395] |
[a1,a2,a3,a4,a6] |
Generators |
[145762652:954375625:2248091] |
Generators of the group modulo torsion |
j |
-3148084412416/126171875 |
j-invariant |
L |
8.8464912998615 |
L(r)(E,1)/r! |
Ω |
0.40284889003177 |
Real period |
R |
10.979912655165 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000054602 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103360bs1 1615b1 |
Quadratic twists by: -4 8 |