Atkin-Lehner |
2+ 3- 31- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
46314m |
Isogeny class |
Conductor |
46314 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
295680 |
Modular degree for the optimal curve |
Δ |
-659238836567616 = -1 · 26 · 317 · 312 · 83 |
Discriminant |
Eigenvalues |
2+ 3- -3 4 3 -4 -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,549,1235173] |
[a1,a2,a3,a4,a6] |
Generators |
[14:-1123:1] |
Generators of the group modulo torsion |
j |
25076571983/904305674304 |
j-invariant |
L |
4.1578136567036 |
L(r)(E,1)/r! |
Ω |
0.40411212844906 |
Real period |
R |
1.2860952950935 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15438k1 |
Quadratic twists by: -3 |