Atkin-Lehner |
2+ 7- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
50666h |
Isogeny class |
Conductor |
50666 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-350019950586363904 = -1 · 224 · 79 · 11 · 47 |
Discriminant |
Eigenvalues |
2+ 2 3 7- 11- -2 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2907636,1907351888] |
[a1,a2,a3,a4,a6] |
Generators |
[1461592:7698772:1331] |
Generators of the group modulo torsion |
j |
-23107651939347894073/2975120490496 |
j-invariant |
L |
7.7936860649778 |
L(r)(E,1)/r! |
Ω |
0.29193399641678 |
Real period |
R |
3.3370925280274 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000027 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7238d2 |
Quadratic twists by: -7 |