Atkin-Lehner |
2- 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74800da |
Isogeny class |
Conductor |
74800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-842547200000000 = -1 · 220 · 58 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 1 5- 1 11- -3 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-27208,-2230412] |
[a1,a2,a3,a4,a6] |
j |
-1392225385/526592 |
j-invariant |
L |
2.1891638256237 |
L(r)(E,1)/r! |
Ω |
0.18243032016702 |
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 |
9350h1 74800ci1 |
Quadratic twists by: -4 5 |