Atkin-Lehner |
3+ 5+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
48675g |
Isogeny class |
Conductor |
48675 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-8.8594889782104E+20 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -4 11- -2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,464062,-1426692094] |
[a1,a2,a3,a4,a6] |
Generators |
[990:1567:1] [1770:69427:1] |
Generators of the group modulo torsion |
j |
707345589359672999/56700729460546875 |
j-invariant |
L |
4.7291254252996 |
L(r)(E,1)/r! |
Ω |
0.07505519222213 |
Real period |
R |
5.2507198206257 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9735j4 |
Quadratic twists by: 5 |