Atkin-Lehner |
2+ 3- 7+ 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
98154k |
Isogeny class |
Conductor |
98154 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-222613272 = -1 · 23 · 36 · 72 · 19 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ -1 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-432,3640] |
[a1,a2,a3,a4,a6] |
Generators |
[17:23:1] |
Generators of the group modulo torsion |
j |
-12246522625/305368 |
j-invariant |
L |
4.4494367438176 |
L(r)(E,1)/r! |
Ω |
1.7667867486352 |
Real period |
R |
0.62959447784343 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000049325 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10906g1 |
Quadratic twists by: -3 |