Atkin-Lehner |
2+ 5- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
50050be |
Isogeny class |
Conductor |
50050 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
Δ |
-20541501460480000 = -1 · 215 · 54 · 73 · 113 · 133 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 11- 13- 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4564599551,-118700768320302] |
[a1,a2,a3,a4,a6] |
Generators |
[6484852:1368052313:64] |
Generators of the group modulo torsion |
j |
-16828745561329537897756677208825/32866402336768 |
j-invariant |
L |
2.9082032353272 |
L(r)(E,1)/r! |
Ω |
0.009183725372396 |
Real period |
R |
11.728489972262 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999896 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50050bn2 |
Quadratic twists by: 5 |