Atkin-Lehner |
2- 3- 5- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
99120da |
Isogeny class |
Conductor |
99120 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
46902911569920 = 212 · 33 · 5 · 7 · 594 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18880,936308] |
[a1,a2,a3,a4,a6] |
Generators |
[98:192:1] |
Generators of the group modulo torsion |
j |
181715819382721/11450906145 |
j-invariant |
L |
9.0808908306134 |
L(r)(E,1)/r! |
Ω |
0.62625405285793 |
Real period |
R |
2.4167217739301 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999970168 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6195e1 |
Quadratic twists by: -4 |