Atkin-Lehner |
2- 5- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
98800cw |
Isogeny class |
Conductor |
98800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
-4445462528000 = -1 · 216 · 53 · 134 · 19 |
Discriminant |
Eigenvalues |
2- 0 5- 2 -4 13- -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17995,934650] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:1170:1] [79:78:1] |
Generators of the group modulo torsion |
j |
-1258662531573/8682544 |
j-invariant |
L |
11.504140274806 |
L(r)(E,1)/r! |
Ω |
0.77967043538593 |
Real period |
R |
1.8443915134715 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000141 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12350z1 98800cj1 |
Quadratic twists by: -4 5 |