Atkin-Lehner |
2- 7+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
105028c |
Isogeny class |
Conductor |
105028 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
285120 |
Modular degree for the optimal curve |
Δ |
-401152924774448 = -1 · 24 · 73 · 119 · 31 |
Discriminant |
Eigenvalues |
2- 1 0 7+ 11- -2 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16133,1239896] |
[a1,a2,a3,a4,a6] |
Generators |
[-136:968:1] [298:6655:8] |
Generators of the group modulo torsion |
j |
-16384000000/14152523 |
j-invariant |
L |
12.831457282557 |
L(r)(E,1)/r! |
Ω |
0.48762363726369 |
Real period |
R |
6.5785660809408 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000846 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9548c1 |
Quadratic twists by: -11 |