Atkin-Lehner |
2+ 3+ 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
63210p |
Isogeny class |
Conductor |
63210 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
355704398437500000 = 25 · 32 · 512 · 76 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 4 6 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3252302,-2258707884] |
[a1,a2,a3,a4,a6] |
j |
32337636827233520089/3023437500000 |
j-invariant |
L |
2.6981463406112 |
L(r)(E,1)/r! |
Ω |
0.11242276364202 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1290e4 |
Quadratic twists by: -7 |