Atkin-Lehner |
2- 3- 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
81840cs |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
Δ |
-3235888979136000000 = -1 · 212 · 314 · 56 · 11 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11+ 6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2823936,1827653364] |
[a1,a2,a3,a4,a6] |
Generators |
[570:20088:1] |
Generators of the group modulo torsion |
j |
-608034844023962128129/790011957796875 |
j-invariant |
L |
7.7747980022013 |
L(r)(E,1)/r! |
Ω |
0.25122379859635 |
Real period |
R |
0.55263744695685 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999995653 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5115b2 |
Quadratic twists by: -4 |