Atkin-Lehner |
2- 7- 13- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
120848k |
Isogeny class |
Conductor |
120848 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1907712 |
Modular degree for the optimal curve |
Δ |
-570163471254028288 = -1 · 235 · 7 · 134 · 83 |
Discriminant |
Eigenvalues |
2- 2 -2 7- 3 13- -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-729344,-242237440] |
[a1,a2,a3,a4,a6] |
j |
-10475182626204231937/139200066224128 |
j-invariant |
L |
2.6118178962075 |
L(r)(E,1)/r! |
Ω |
0.08161932773249 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15106d1 |
Quadratic twists by: -4 |