Atkin-Lehner |
2- 5+ 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
77350bb |
Isogeny class |
Conductor |
77350 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
720000 |
Modular degree for the optimal curve |
Δ |
-51140222999756800 = -1 · 215 · 52 · 710 · 13 · 17 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ -3 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3248,-10880768] |
[a1,a2,a3,a4,a6] |
Generators |
[666:16474:1] |
Generators of the group modulo torsion |
j |
-151579378513705/2045608919990272 |
j-invariant |
L |
5.7895136821673 |
L(r)(E,1)/r! |
Ω |
0.16204545456552 |
Real period |
R |
1.1909238058281 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999967495 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77350u1 |
Quadratic twists by: 5 |