Atkin-Lehner |
2- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
93104q |
Isogeny class |
Conductor |
93104 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
709632 |
Modular degree for the optimal curve |
Δ |
19636200363524096 = 219 · 11 · 237 |
Discriminant |
Eigenvalues |
2- 2 -1 -1 11+ 3 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-402216,-97817488] |
[a1,a2,a3,a4,a6] |
Generators |
[-2499754:3287106:6859] |
Generators of the group modulo torsion |
j |
11867954041/32384 |
j-invariant |
L |
7.8728179372925 |
L(r)(E,1)/r! |
Ω |
0.18960764996937 |
Real period |
R |
10.380406494938 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015705 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11638l1 4048l1 |
Quadratic twists by: -4 -23 |