Atkin-Lehner |
2- 3+ 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
55770ci |
Isogeny class |
Conductor |
55770 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
11681280 |
Modular degree for the optimal curve |
Δ |
-6.1129022762399E+24 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 11- 13+ 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,14422710,117077664855] |
[a1,a2,a3,a4,a6] |
j |
2406749003502311/44341862400000 |
j-invariant |
L |
4.5057150113144 |
L(r)(E,1)/r! |
Ω |
0.056321437652534 |
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 |
55770b1 |
Quadratic twists by: 13 |