Atkin-Lehner |
2- 3+ 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
121128x |
Isogeny class |
Conductor |
121128 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
325592064 = 210 · 32 · 73 · 103 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 2 6 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-184,-356] |
[a1,a2,a3,a4,a6] |
j |
1972156/927 |
j-invariant |
L |
2.7126139001898 |
L(r)(E,1)/r! |
Ω |
1.3563069499594 |
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 |
121128ba1 |
Quadratic twists by: -7 |