Atkin-Lehner |
3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
207a |
Isogeny class |
Conductor |
207 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1156923 = 37 · 232 |
Discriminant |
Eigenvalues |
-1 3- 0 -2 -4 -6 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-140,668] |
[a1,a2,a3,a4,a6] |
Generators |
[24:91:1] |
Generators of the group modulo torsion |
j |
413493625/1587 |
j-invariant |
L |
0.97855712030454 |
L(r)(E,1)/r! |
Ω |
2.7562368184395 |
Real period |
R |
0.17751687985551 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3312l2 13248p2 69a2 5175b2 |
Quadratic twists by: -4 8 -3 5 |