Atkin-Lehner |
3- 29+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
108489k |
Isogeny class |
Conductor |
108489 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1915200 |
Modular degree for the optimal curve |
Δ |
1573865759776051941 = 3 · 2911 · 43 |
Discriminant |
Eigenvalues |
0 3- 3 -2 5 -2 -7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-546089,-143300521] |
[a1,a2,a3,a4,a6] |
Generators |
[-70085911500117:416265851105344:202986461133] |
Generators of the group modulo torsion |
j |
30277973573632/2645938221 |
j-invariant |
L |
8.3136866216747 |
L(r)(E,1)/r! |
Ω |
0.17660311608875 |
Real period |
R |
23.537768771579 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3741a1 |
Quadratic twists by: 29 |