Atkin-Lehner |
2- 3+ 5- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
49590bi |
Isogeny class |
Conductor |
49590 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
216576 |
Modular degree for the optimal curve |
Δ |
-31199330304000 = -1 · 224 · 33 · 53 · 19 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 6 5 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,6208,-193309] |
[a1,a2,a3,a4,a6] |
j |
980123169959037/1155530752000 |
j-invariant |
L |
5.6687041205199 |
L(r)(E,1)/r! |
Ω |
0.35429400759282 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
49590f2 |
Quadratic twists by: -3 |