Atkin-Lehner |
2- 3- 5+ 13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
120510y |
Isogeny class |
Conductor |
120510 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
11648000 |
Modular degree for the optimal curve |
Δ |
-1011574267803450000 = -1 · 24 · 319 · 55 · 132 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 6 13+ 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-89355713,325133293281] |
[a1,a2,a3,a4,a6] |
Generators |
[5273:20880:1] |
Generators of the group modulo torsion |
j |
-108233861425942841913011401/1387619023050000 |
j-invariant |
L |
11.571614900383 |
L(r)(E,1)/r! |
Ω |
0.19600454014603 |
Real period |
R |
3.6898427531902 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999892668 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40170d1 |
Quadratic twists by: -3 |