Atkin-Lehner |
2+ 3- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
64386p |
Isogeny class |
Conductor |
64386 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-74041720727058 = -1 · 2 · 310 · 76 · 732 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -4 -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1332,-414086] |
[a1,a2,a3,a4,a6] |
Generators |
[101:638:1] |
Generators of the group modulo torsion |
j |
-3048625/863298 |
j-invariant |
L |
3.11618368017 |
L(r)(E,1)/r! |
Ω |
0.27439907304888 |
Real period |
R |
2.8390982203107 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001213 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21462z2 1314b2 |
Quadratic twists by: -3 -7 |