Atkin-Lehner |
2- 3+ 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
93240z |
Isogeny class |
Conductor |
93240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
204800 |
Modular degree for the optimal curve |
Δ |
-991806001200 = -1 · 24 · 33 · 52 · 72 · 374 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -6 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9558,-362843] |
[a1,a2,a3,a4,a6] |
j |
-223532689692672/2295847225 |
j-invariant |
L |
1.9301980476478 |
L(r)(E,1)/r! |
Ω |
0.241274760928 |
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 |
93240e1 |
Quadratic twists by: -3 |