Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
80850gt |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
Δ |
-2501228106665164800 = -1 · 233 · 32 · 52 · 76 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 5 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-561688,178958912] |
[a1,a2,a3,a4,a6] |
Generators |
[368:-4888:1] |
Generators of the group modulo torsion |
j |
-6663170841705625/850403524608 |
j-invariant |
L |
13.94243772247 |
L(r)(E,1)/r! |
Ω |
0.24952997818495 |
Real period |
R |
0.42329394235268 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999475 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80850bq2 1650n2 |
Quadratic twists by: 5 -7 |