Atkin-Lehner |
2+ 3- 5- 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
121410n |
Isogeny class |
Conductor |
121410 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1081344 |
Modular degree for the optimal curve |
Δ |
-17633377360281600 = -1 · 222 · 38 · 52 · 192 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 2 6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-87354,11835828] |
[a1,a2,a3,a4,a6] |
j |
-101122400275390369/24188446310400 |
j-invariant |
L |
2.965787131803 |
L(r)(E,1)/r! |
Ω |
0.37072346510351 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40470bg1 |
Quadratic twists by: -3 |