Atkin-Lehner |
2- 3- 23+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
65412b |
Isogeny class |
Conductor |
65412 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-6674422788864 = -1 · 28 · 315 · 23 · 79 |
Discriminant |
Eigenvalues |
2- 3- 3 -4 3 -6 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17976,-935948] |
[a1,a2,a3,a4,a6] |
Generators |
[21745:137007:125] |
Generators of the group modulo torsion |
j |
-3442194423808/35764011 |
j-invariant |
L |
6.3026432296958 |
L(r)(E,1)/r! |
Ω |
0.20602850970658 |
Real period |
R |
7.6477804440027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998917 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21804b1 |
Quadratic twists by: -3 |