Atkin-Lehner |
2+ 3- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
121032d |
Isogeny class |
Conductor |
121032 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-981337183436729088 = -1 · 28 · 39 · 417 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 -3 6 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,100860,-46039228] |
[a1,a2,a3,a4,a6] |
j |
128000/1107 |
j-invariant |
L |
2.2041478709012 |
L(r)(E,1)/r! |
Ω |
0.13775928458717 |
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 |
40344c1 2952c1 |
Quadratic twists by: -3 41 |