Atkin-Lehner |
3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
53235f |
Isogeny class |
Conductor |
53235 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
810705937412109375 = 33 · 510 · 72 · 137 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- -6 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-266207,30368056] |
[a1,a2,a3,a4,a6] |
Generators |
[-224:8984:1] |
Generators of the group modulo torsion |
j |
16008724040427/6220703125 |
j-invariant |
L |
3.3266695263095 |
L(r)(E,1)/r! |
Ω |
0.25732076151832 |
Real period |
R |
0.32320259611536 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000076 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53235b2 4095b2 |
Quadratic twists by: -3 13 |