Atkin-Lehner |
2- 5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
98800cg |
Isogeny class |
Conductor |
98800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-123024179200 = -1 · 220 · 52 · 13 · 192 |
Discriminant |
Eigenvalues |
2- 2 5+ -3 1 13- -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,112,16832] |
[a1,a2,a3,a4,a6] |
j |
1503815/1201408 |
j-invariant |
L |
3.2645539119486 |
L(r)(E,1)/r! |
Ω |
0.81613841816917 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12350q1 98800cs1 |
Quadratic twists by: -4 5 |