Atkin-Lehner |
2- 5- 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
108290bk |
Isogeny class |
Conductor |
108290 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-18637107507200 = -1 · 212 · 52 · 77 · 13 · 17 |
Discriminant |
Eigenvalues |
2- -1 5- 7- -1 13+ 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,2890,200115] |
[a1,a2,a3,a4,a6] |
Generators |
[13:-497:1] |
Generators of the group modulo torsion |
j |
22689222191/158412800 |
j-invariant |
L |
8.6683915094668 |
L(r)(E,1)/r! |
Ω |
0.50041889708759 |
Real period |
R |
0.18044031678065 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000063875 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15470k1 |
Quadratic twists by: -7 |