Atkin-Lehner |
2+ 3- 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
122010y |
Isogeny class |
Conductor |
122010 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
250880 |
Modular degree for the optimal curve |
Δ |
2411531554320 = 24 · 32 · 5 · 79 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4338,80308] |
[a1,a2,a3,a4,a6] |
j |
223648543/59760 |
j-invariant |
L |
1.5245607684228 |
L(r)(E,1)/r! |
Ω |
0.76228015561172 |
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 |
122010d1 |
Quadratic twists by: -7 |