Atkin-Lehner |
2- 5+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
98800bx |
Isogeny class |
Conductor |
98800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
58368 |
Modular degree for the optimal curve |
Δ |
-480563200 = -1 · 212 · 52 · 13 · 192 |
Discriminant |
Eigenvalues |
2- 2 5+ -1 3 13- 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4568,-117328] |
[a1,a2,a3,a4,a6] |
Generators |
[1031190:17509906:3375] |
Generators of the group modulo torsion |
j |
-102966775105/4693 |
j-invariant |
L |
10.559663751035 |
L(r)(E,1)/r! |
Ω |
0.29035474326592 |
Real period |
R |
9.0920365514939 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999965353 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6175c1 98800cl1 |
Quadratic twists by: -4 5 |