Atkin-Lehner |
2- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
10640bd |
Isogeny class |
Conductor |
10640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-372400 = -1 · 24 · 52 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 0 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5,-28] |
[a1,a2,a3,a4,a6] |
Generators |
[842:8595:8] |
Generators of the group modulo torsion |
j |
-1048576/23275 |
j-invariant |
L |
6.8471508685338 |
L(r)(E,1)/r! |
Ω |
1.3031995493264 |
Real period |
R |
5.2541077627544 |
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 |
2660f1 42560cl1 95760dq1 53200by1 |
Quadratic twists by: -4 8 -3 5 |