Atkin-Lehner |
2- 3- 23+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
120888d |
Isogeny class |
Conductor |
120888 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-205865494272 = -1 · 28 · 38 · 23 · 732 |
Discriminant |
Eigenvalues |
2- 3- 0 2 -6 -2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-255,-21886] |
[a1,a2,a3,a4,a6] |
Generators |
[43:216:1] |
Generators of the group modulo torsion |
j |
-9826000/1103103 |
j-invariant |
L |
6.3901703845531 |
L(r)(E,1)/r! |
Ω |
0.44401135234262 |
Real period |
R |
1.7989884860691 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998437699 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40296b1 |
Quadratic twists by: -3 |