Atkin-Lehner |
2+ 3- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
92352bi |
Isogeny class |
Conductor |
92352 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-51889778343936 = -1 · 214 · 34 · 134 · 372 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 0 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6609,401391] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:777:1] [-51:780:1] |
Generators of the group modulo torsion |
j |
-1948842487888/3167100729 |
j-invariant |
L |
12.219465658888 |
L(r)(E,1)/r! |
Ω |
0.56637272744485 |
Real period |
R |
1.3484346379047 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000384 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92352cb2 5772a2 |
Quadratic twists by: -4 8 |