Atkin-Lehner |
2+ 3- 5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
76650bk |
Isogeny class |
Conductor |
76650 |
Conductor |
∏ cp |
420 |
Product of Tamagawa factors cp |
deg |
3360000 |
Modular degree for the optimal curve |
Δ |
-2.2878499949525E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -3 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-544776,743962198] |
[a1,a2,a3,a4,a6] |
Generators |
[521:-24789:1] [-823:25611:1] |
Generators of the group modulo torsion |
j |
-1144343586227588209/14642239967695872 |
j-invariant |
L |
9.5186860843422 |
L(r)(E,1)/r! |
Ω |
0.1498185473433 |
Real period |
R |
0.15127324819319 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999325 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3066g1 |
Quadratic twists by: 5 |