Atkin-Lehner |
2- 3+ 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
105120r |
Isogeny class |
Conductor |
105120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
374784 |
Modular degree for the optimal curve |
Δ |
-30796875000000 = -1 · 26 · 33 · 512 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 4 -6 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15333,-778032] |
[a1,a2,a3,a4,a6] |
Generators |
[2150592:17352852:12167] |
Generators of the group modulo torsion |
j |
-230707323586368/17822265625 |
j-invariant |
L |
4.8010919641226 |
L(r)(E,1)/r! |
Ω |
0.21357065518132 |
Real period |
R |
11.240055302509 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028452 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105120q1 105120d1 |
Quadratic twists by: -4 -3 |