Atkin-Lehner |
2+ 3- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
62304l |
Isogeny class |
Conductor |
62304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-19426059231744 = -1 · 29 · 3 · 118 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2992,220220] |
[a1,a2,a3,a4,a6] |
Generators |
[-1400784:-55982465:110592] |
Generators of the group modulo torsion |
j |
-5787402166664/37941521937 |
j-invariant |
L |
10.32257452397 |
L(r)(E,1)/r! |
Ω |
0.5907123442904 |
Real period |
R |
8.7373953019389 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000358 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62304t2 124608j3 |
Quadratic twists by: -4 8 |