Atkin-Lehner |
2+ 3- 7+ 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
88578i |
Isogeny class |
Conductor |
88578 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
344484536634 = 2 · 36 · 72 · 194 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -4 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3078,-58590] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:51:1] |
Generators of the group modulo torsion |
j |
4424675183713/472543946 |
j-invariant |
L |
2.1186658179543 |
L(r)(E,1)/r! |
Ω |
0.64538458638538 |
Real period |
R |
1.6413979084146 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999883055 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9842h2 |
Quadratic twists by: -3 |