Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200cg |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-172480000000 = -1 · 212 · 57 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 11- -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1367,4137] |
[a1,a2,a3,a4,a6] |
Generators |
[177:2400:1] |
Generators of the group modulo torsion |
j |
4410944/2695 |
j-invariant |
L |
11.158396831106 |
L(r)(E,1)/r! |
Ω |
0.62621245936034 |
Real period |
R |
2.2273584331538 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011371 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123200g1 61600m1 24640u1 |
Quadratic twists by: -4 8 5 |