Atkin-Lehner |
2+ 5+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
120640b |
Isogeny class |
Conductor |
120640 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
25973309440 = 214 · 5 · 13 · 293 |
Discriminant |
Eigenvalues |
2+ 1 5+ 3 4 13+ -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3141,66275] |
[a1,a2,a3,a4,a6] |
Generators |
[14408:15877:512] |
Generators of the group modulo torsion |
j |
209240544256/1585285 |
j-invariant |
L |
8.7091359303106 |
L(r)(E,1)/r! |
Ω |
1.1966363554055 |
Real period |
R |
7.2780138010557 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023911 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120640bv1 15080k1 |
Quadratic twists by: -4 8 |