Atkin-Lehner |
2+ 3- 7+ 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
113526h |
Isogeny class |
Conductor |
113526 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
812106265868294544 = 24 · 312 · 76 · 172 · 532 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 0 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-313983,-51940035] |
[a1,a2,a3,a4,a6] |
Generators |
[-203:1946:1] |
Generators of the group modulo torsion |
j |
4695862435917538033/1114000364702736 |
j-invariant |
L |
3.8737421539026 |
L(r)(E,1)/r! |
Ω |
0.20515059380359 |
Real period |
R |
4.7206080627066 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999101372 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
37842s2 |
Quadratic twists by: -3 |