Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
48510ci |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-2184270128097750000 = -1 · 24 · 39 · 56 · 79 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-116507,72764731] |
[a1,a2,a3,a4,a6] |
Generators |
[-131:9326:1] |
Generators of the group modulo torsion |
j |
-75526045083/943250000 |
j-invariant |
L |
10.244679077843 |
L(r)(E,1)/r! |
Ω |
0.22086489327343 |
Real period |
R |
0.96634105564827 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48510c1 6930t3 |
Quadratic twists by: -3 -7 |