Atkin-Lehner |
2- 3+ 5- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
77700k |
Isogeny class |
Conductor |
77700 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-3496500000000 = -1 · 28 · 33 · 59 · 7 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 5 4 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3292,51912] |
[a1,a2,a3,a4,a6] |
j |
7888624/6993 |
j-invariant |
L |
3.0924016067718 |
L(r)(E,1)/r! |
Ω |
0.51540026609749 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77700be1 |
Quadratic twists by: 5 |