Atkin-Lehner |
2+ 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
13760k |
Isogeny class |
Conductor |
13760 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
60032 |
Modular degree for the optimal curve |
Δ |
-434909777771200 = -1 · 26 · 52 · 437 |
Discriminant |
Eigenvalues |
2+ 2 5- -2 -3 -1 -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-32095,-2419275] |
[a1,a2,a3,a4,a6] |
Generators |
[98700:1192605:343] |
Generators of the group modulo torsion |
j |
-57130682153065984/6795465277675 |
j-invariant |
L |
6.481003162953 |
L(r)(E,1)/r! |
Ω |
0.17716163461737 |
Real period |
R |
2.6130307408463 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13760h1 6880b1 123840cb1 68800p1 |
Quadratic twists by: -4 8 -3 5 |