Atkin-Lehner |
2+ 3- 5+ 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
21210n |
Isogeny class |
Conductor |
21210 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
400896 |
Modular degree for the optimal curve |
Δ |
901682859514500 = 22 · 36 · 53 · 74 · 1013 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2682194,1690540976] |
[a1,a2,a3,a4,a6] |
j |
2133998153889330432572569/901682859514500 |
j-invariant |
L |
1.6210794093489 |
L(r)(E,1)/r! |
Ω |
0.40526985233722 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
63630bv1 106050bi1 |
Quadratic twists by: -3 5 |