Atkin-Lehner |
2- 3+ 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
45120ck |
Isogeny class |
Conductor |
45120 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3225600 |
Modular degree for the optimal curve |
Δ |
-8.3513971087918E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5- 5 2 -5 5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2994945,-2430669663] |
[a1,a2,a3,a4,a6] |
j |
-11333146141863707329/3185805171505680 |
j-invariant |
L |
2.8278380577426 |
L(r)(E,1)/r! |
Ω |
0.056556761159155 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45120bl1 11280x1 |
Quadratic twists by: -4 8 |