Atkin-Lehner |
7- 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
33761c |
Isogeny class |
Conductor |
33761 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-55850450929 = -1 · 76 · 132 · 532 |
Discriminant |
Eigenvalues |
-1 2 2 7- 2 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-442,-12104] |
[a1,a2,a3,a4,a6] |
Generators |
[50072:190141:1331] |
Generators of the group modulo torsion |
j |
-81182737/474721 |
j-invariant |
L |
6.3524069060588 |
L(r)(E,1)/r! |
Ω |
0.46632217289762 |
Real period |
R |
6.8111782746534 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
689a2 |
Quadratic twists by: -7 |