Atkin-Lehner |
2- 3- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
252b |
Isogeny class |
Conductor |
252 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
11757312 = 28 · 38 · 7 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ -2 -6 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-327,2270] |
[a1,a2,a3,a4,a6] |
Generators |
[19:-54:1] |
Generators of the group modulo torsion |
j |
20720464/63 |
j-invariant |
L |
1.3316363641993 |
L(r)(E,1)/r! |
Ω |
2.2699063938972 |
Real period |
R |
0.19554938003603 |
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 |
1008m2 4032j2 84b2 6300p2 |
Quadratic twists by: -4 8 -3 5 |