Atkin-Lehner |
2- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
12400z |
Isogeny class |
Conductor |
12400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
1922000 = 24 · 53 · 312 |
Discriminant |
Eigenvalues |
2- 2 5- -4 -4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-53,152] |
[a1,a2,a3,a4,a6] |
Generators |
[26:15:8] |
Generators of the group modulo torsion |
j |
8388608/961 |
j-invariant |
L |
5.6551072918796 |
L(r)(E,1)/r! |
Ω |
2.5443717152471 |
Real period |
R |
2.2225947796823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3100g1 49600cr1 111600gf1 12400ba1 |
Quadratic twists by: -4 8 -3 5 |