Atkin-Lehner |
2- 3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
11280x |
Isogeny class |
Conductor |
11280 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-1.3049057982487E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 5 -2 5 5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-748736,-304208076] |
[a1,a2,a3,a4,a6] |
j |
-11333146141863707329/3185805171505680 |
j-invariant |
L |
3.9991669337586 |
L(r)(E,1)/r! |
Ω |
0.079983338675173 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1410i1 45120ck1 33840co1 56400bp1 |
Quadratic twists by: -4 8 -3 5 |