Atkin-Lehner |
2+ 3+ 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
6450j |
Isogeny class |
Conductor |
6450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4800 |
Modular degree for the optimal curve |
Δ |
-1511718750 = -1 · 2 · 32 · 59 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -5 0 1 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-200,-2250] |
[a1,a2,a3,a4,a6] |
Generators |
[35:170:1] |
Generators of the group modulo torsion |
j |
-456533/774 |
j-invariant |
L |
2.0213635916857 |
L(r)(E,1)/r! |
Ω |
0.59965507590484 |
Real period |
R |
0.84271928684819 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51600dr1 19350cy1 6450bl1 |
Quadratic twists by: -4 -3 5 |