Atkin-Lehner |
2+ 3- 19+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
46056c |
Isogeny class |
Conductor |
46056 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
120320 |
Modular degree for the optimal curve |
Δ |
-2929873441536 = -1 · 28 · 310 · 19 · 1012 |
Discriminant |
Eigenvalues |
2+ 3- 1 3 1 -2 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-38305,-2899549] |
[a1,a2,a3,a4,a6] |
Generators |
[359:-5454:1] |
Generators of the group modulo torsion |
j |
-24280715739636736/11444818131 |
j-invariant |
L |
9.2358564282692 |
L(r)(E,1)/r! |
Ω |
0.17062492316015 |
Real period |
R |
0.67661982326657 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999889 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92112d1 |
Quadratic twists by: -4 |