Atkin-Lehner |
3- 5+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
33825t |
Isogeny class |
Conductor |
33825 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
2.1200758358291E+19 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 11- -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-692063,-5536008] |
[a1,a2,a3,a4,a6] |
Generators |
[-377:14395:1] |
Generators of the group modulo torsion |
j |
2346068121930775081/1356848534930625 |
j-invariant |
L |
5.1476925329466 |
L(r)(E,1)/r! |
Ω |
0.18123222611169 |
Real period |
R |
1.5779915340265 |
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 |
101475bk2 6765c2 |
Quadratic twists by: -3 5 |