Atkin-Lehner |
2+ 3- 5- 103- |
Signs for the Atkin-Lehner involutions |
Class |
46350bg |
Isogeny class |
Conductor |
46350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
56320 |
Modular degree for the optimal curve |
Δ |
-36492282000 = -1 · 24 · 311 · 53 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 -6 -6 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,828,-864] |
[a1,a2,a3,a4,a6] |
Generators |
[24:-192:1] [3:39:1] |
Generators of the group modulo torsion |
j |
688465387/400464 |
j-invariant |
L |
5.9995230287136 |
L(r)(E,1)/r! |
Ω |
0.6845425271555 |
Real period |
R |
0.54776755923808 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15450bj1 46350ci1 |
Quadratic twists by: -3 5 |