Atkin-Lehner |
2+ 3+ 5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
76650l |
Isogeny class |
Conductor |
76650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
267264 |
Modular degree for the optimal curve |
Δ |
-61726733107200 = -1 · 229 · 32 · 52 · 7 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 3 -6 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,3995,-363635] |
[a1,a2,a3,a4,a6] |
Generators |
[721:19081:1] |
Generators of the group modulo torsion |
j |
281944862039615/2469069324288 |
j-invariant |
L |
3.7571577667762 |
L(r)(E,1)/r! |
Ω |
0.30838477196891 |
Real period |
R |
6.0916720107407 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999970532 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76650dg1 |
Quadratic twists by: 5 |