Atkin-Lehner |
2+ 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
83600q |
Isogeny class |
Conductor |
83600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-5734124000000 = -1 · 28 · 56 · 11 · 194 |
Discriminant |
Eigenvalues |
2+ 1 5+ 2 11- -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15433,741763] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:1007:1] |
Generators of the group modulo torsion |
j |
-101634915328/1433531 |
j-invariant |
L |
8.0718880553267 |
L(r)(E,1)/r! |
Ω |
0.76148097085262 |
Real period |
R |
2.6500623000765 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003714 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41800m1 3344c1 |
Quadratic twists by: -4 5 |