Atkin-Lehner |
2- 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
91200hc |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
716800 |
Modular degree for the optimal curve |
Δ |
-253344024000000000 = -1 · 212 · 35 · 59 · 194 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 2 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-79833,25752537] |
[a1,a2,a3,a4,a6] |
j |
-7033743296/31668003 |
j-invariant |
L |
2.1662890663752 |
L(r)(E,1)/r! |
Ω |
0.27078614383886 |
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 |
91200it1 45600s1 91200jd1 |
Quadratic twists by: -4 8 5 |