Atkin-Lehner |
2- 7- |
Signs for the Atkin-Lehner involutions |
Class |
3136s |
Isogeny class |
Conductor |
3136 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
377801998336 = 216 · 78 |
Discriminant |
Eigenvalues |
2- 0 2 7- -4 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3724,82320] |
[a1,a2,a3,a4,a6] |
Generators |
[92:720:1] |
Generators of the group modulo torsion |
j |
740772/49 |
j-invariant |
L |
3.6145520979503 |
L(r)(E,1)/r! |
Ω |
0.93493147424957 |
Real period |
R |
3.8661144666796 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3136e2 784c2 28224gd2 78400gz2 |
Quadratic twists by: -4 8 -3 5 |