Atkin-Lehner |
2+ 3- 5+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
77520r |
Isogeny class |
Conductor |
77520 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
3427701840 = 24 · 33 · 5 · 174 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 4 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-951,10620] |
[a1,a2,a3,a4,a6] |
Generators |
[36:156:1] |
Generators of the group modulo torsion |
j |
5951163357184/214231365 |
j-invariant |
L |
5.9767826873201 |
L(r)(E,1)/r! |
Ω |
1.3992445016773 |
Real period |
R |
2.8476236900598 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000965 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38760a1 |
Quadratic twists by: -4 |