Atkin-Lehner |
2+ 5- 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
88330p |
Isogeny class |
Conductor |
88330 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
680400 |
Modular degree for the optimal curve |
Δ |
5172958120000000 = 29 · 57 · 116 · 73 |
Discriminant |
Eigenvalues |
2+ -1 5- 3 11- 6 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-49007,2316901] |
[a1,a2,a3,a4,a6] |
j |
7347774183121/2920000000 |
j-invariant |
L |
2.7393939995178 |
L(r)(E,1)/r! |
Ω |
0.39134200775083 |
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 |
730j1 |
Quadratic twists by: -11 |