Atkin-Lehner |
2+ 3+ 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
95370d |
Isogeny class |
Conductor |
95370 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
759659985324900 = 22 · 32 · 52 · 112 · 178 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 11+ 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-49858,-4095488] |
[a1,a2,a3,a4,a6] |
Generators |
[-119:472:1] |
Generators of the group modulo torsion |
j |
567869252041/31472100 |
j-invariant |
L |
2.9914472602032 |
L(r)(E,1)/r! |
Ω |
0.32059915540169 |
Real period |
R |
2.3327005210336 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999759629 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5610s2 |
Quadratic twists by: 17 |