Atkin-Lehner |
3- 7+ 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
50337h |
Isogeny class |
Conductor |
50337 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
5675168685957893451 = 37 · 72 · 173 · 476 |
Discriminant |
Eigenvalues |
1 3- 2 7+ 2 -2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-34646661,-78485929938] |
[a1,a2,a3,a4,a6] |
Generators |
[616462369371576:-9321647385330513:89434562048] |
Generators of the group modulo torsion |
j |
6309287985080793237343057/7784867881972419 |
j-invariant |
L |
7.3994039001117 |
L(r)(E,1)/r! |
Ω |
0.062227770245252 |
Real period |
R |
19.818064804357 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16779i2 |
Quadratic twists by: -3 |