Atkin-Lehner |
2+ 3+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
117216d |
Isogeny class |
Conductor |
117216 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
26021952 = 26 · 33 · 11 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 11- 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-81,-136] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:12:1] [19:72:1] |
Generators of the group modulo torsion |
j |
34012224/15059 |
j-invariant |
L |
10.232153710081 |
L(r)(E,1)/r! |
Ω |
1.6579110324865 |
Real period |
R |
3.0858572955856 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117216a1 117216v1 |
Quadratic twists by: -4 -3 |