Atkin-Lehner |
2+ 3- 5+ 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
53010k |
Isogeny class |
Conductor |
53010 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
739337764388040000 = 26 · 322 · 54 · 19 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 -6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1130881230,-14637443078124] |
[a1,a2,a3,a4,a6] |
Generators |
[-343658469266232430482330795:171803381286296121106586022:17700440612056940505313] |
Generators of the group modulo torsion |
j |
219405328949022145572741216481/1014180746760000 |
j-invariant |
L |
3.4121155569755 |
L(r)(E,1)/r! |
Ω |
0.026034264072353 |
Real period |
R |
32.765623290859 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999341 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17670z4 |
Quadratic twists by: -3 |