Atkin-Lehner |
2+ 3+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
90816f |
Isogeny class |
Conductor |
90816 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
5169628873728 = 210 · 36 · 115 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -5 11+ -4 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-231737,43015137] |
[a1,a2,a3,a4,a6] |
Generators |
[368:2727:1] |
Generators of the group modulo torsion |
j |
1344038690471072512/5048465697 |
j-invariant |
L |
4.7595608937028 |
L(r)(E,1)/r! |
Ω |
0.67184536785133 |
Real period |
R |
3.542155030632 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999886966 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90816cw1 5676j1 |
Quadratic twists by: -4 8 |