Atkin-Lehner |
3+ 5- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
6555i |
Isogeny class |
Conductor |
6555 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3328 |
Modular degree for the optimal curve |
Δ |
124545 = 3 · 5 · 192 · 23 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 4 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2595,49800] |
[a1,a2,a3,a4,a6] |
Generators |
[103038:352650:2197] |
Generators of the group modulo torsion |
j |
1932619060770481/124545 |
j-invariant |
L |
2.628663322862 |
L(r)(E,1)/r! |
Ω |
2.4980969705393 |
Real period |
R |
8.4181306133828 |
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 |
104880db1 19665s1 32775bd1 124545bl1 |
Quadratic twists by: -4 -3 5 -19 |