Atkin-Lehner |
2- 7+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
24472c |
Isogeny class |
Conductor |
24472 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
11365692670976 = 210 · 7 · 194 · 233 |
Discriminant |
Eigenvalues |
2- -2 2 7+ -2 -4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-29352,-1938560] |
[a1,a2,a3,a4,a6] |
Generators |
[408:7360:1] |
Generators of the group modulo torsion |
j |
2731188327684772/11099309249 |
j-invariant |
L |
3.3916552620911 |
L(r)(E,1)/r! |
Ω |
0.36483379986447 |
Real period |
R |
3.0988130881798 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48944e1 |
Quadratic twists by: -4 |