Atkin-Lehner |
2+ 3- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
124992bc |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
983040 |
Modular degree for the optimal curve |
Δ |
6517589252465088 = 26 · 38 · 75 · 314 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ -6 6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-193035,32412004] |
[a1,a2,a3,a4,a6] |
j |
17050000247272000/139694557023 |
j-invariant |
L |
0.84911495710978 |
L(r)(E,1)/r! |
Ω |
0.4245575550061 |
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 |
124992dc1 62496be2 41664bf1 |
Quadratic twists by: -4 8 -3 |