Atkin-Lehner |
2- 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
126400bu |
Isogeny class |
Conductor |
126400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-2022400000000 = -1 · 216 · 58 · 79 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 0 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1300,66000] |
[a1,a2,a3,a4,a6] |
Generators |
[60:600:1] |
Generators of the group modulo torsion |
j |
237276/1975 |
j-invariant |
L |
5.5163461231959 |
L(r)(E,1)/r! |
Ω |
0.60535481087465 |
Real period |
R |
2.2781457613228 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000248777 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126400a1 31600d1 25280q1 |
Quadratic twists by: -4 8 5 |