Atkin-Lehner |
3- 5+ 11+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
122265k |
Isogeny class |
Conductor |
122265 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
16946066548125 = 310 · 54 · 11 · 133 · 19 |
Discriminant |
Eigenvalues |
2 3- 5+ 1 11+ 13- 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-21693,-1213727] |
[a1,a2,a3,a4,a6] |
j |
1548656260673536/23245633125 |
j-invariant |
L |
4.7249348611833 |
L(r)(E,1)/r! |
Ω |
0.39374454642267 |
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 |
40755k1 |
Quadratic twists by: -3 |