Atkin-Lehner |
2+ 3+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
40368i |
Isogeny class |
Conductor |
40368 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
49280 |
Modular degree for the optimal curve |
Δ |
-69127010928 = -1 · 24 · 311 · 293 |
Discriminant |
Eigenvalues |
2+ 3+ 0 5 1 -3 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2368,-45341] |
[a1,a2,a3,a4,a6] |
j |
-3764768000/177147 |
j-invariant |
L |
2.7299688476161 |
L(r)(E,1)/r! |
Ω |
0.34124610594577 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20184q1 121104y1 40368r1 |
Quadratic twists by: -4 -3 29 |