Atkin-Lehner |
3- 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
122199k |
Isogeny class |
Conductor |
122199 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
2534400 |
Modular degree for the optimal curve |
Δ |
-458886483426298851 = -1 · 36 · 75 · 11 · 237 |
Discriminant |
Eigenvalues |
2 3- 1 7- 11+ 6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,192380,2789647] |
[a1,a2,a3,a4,a6] |
j |
5319051554816/3099832659 |
j-invariant |
L |
10.735653730648 |
L(r)(E,1)/r! |
Ω |
0.17892757598767 |
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 |
5313d1 |
Quadratic twists by: -23 |