Atkin-Lehner |
2+ 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
129360cm |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-410956945383600 = -1 · 24 · 38 · 52 · 76 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11+ 0 8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,15125,667400] |
[a1,a2,a3,a4,a6] |
j |
203269830656/218317275 |
j-invariant |
L |
2.8203808867917 |
L(r)(E,1)/r! |
Ω |
0.35254754508667 |
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 |
64680m1 2640a1 |
Quadratic twists by: -4 -7 |