Atkin-Lehner |
3+ 7- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
66297i |
Isogeny class |
Conductor |
66297 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
18720 |
Modular degree for the optimal curve |
Δ |
-24065811 = -1 · 32 · 72 · 113 · 41 |
Discriminant |
Eigenvalues |
-1 3+ -3 7- 11- 1 6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-22,230] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:18:1] |
Generators of the group modulo torsion |
j |
-24100657/491139 |
j-invariant |
L |
2.3937518726402 |
L(r)(E,1)/r! |
Ω |
1.7912720738658 |
Real period |
R |
0.22272364506187 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999996268 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66297k1 |
Quadratic twists by: -7 |