Atkin-Lehner |
2- 7+ 13- 89- |
Signs for the Atkin-Lehner involutions |
Class |
16198i |
Isogeny class |
Conductor |
16198 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
-193202487296 = -1 · 218 · 72 · 132 · 89 |
Discriminant |
Eigenvalues |
2- -1 -3 7+ -4 13- -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2377,48375] |
[a1,a2,a3,a4,a6] |
Generators |
[125:1250:1] [-49:248:1] |
Generators of the group modulo torsion |
j |
-1485329054790673/193202487296 |
j-invariant |
L |
7.117525685141 |
L(r)(E,1)/r! |
Ω |
0.97633082849618 |
Real period |
R |
0.10125105191755 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999965 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129584s1 113386r1 |
Quadratic twists by: -4 -7 |