Atkin-Lehner |
2- 3- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
10248g |
Isogeny class |
Conductor |
10248 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
20584214784 = 28 · 32 · 74 · 612 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1044,10656] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:126:1] |
Generators of the group modulo torsion |
j |
492040858192/80407089 |
j-invariant |
L |
4.8905957948354 |
L(r)(E,1)/r! |
Ω |
1.1598707701681 |
Real period |
R |
1.0541251492454 |
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 |
20496a2 81984n2 30744d2 71736i2 |
Quadratic twists by: -4 8 -3 -7 |