Atkin-Lehner |
2- 5- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
27950q |
Isogeny class |
Conductor |
27950 |
Conductor |
∏ cp |
156 |
Product of Tamagawa factors cp |
deg |
97344 |
Modular degree for the optimal curve |
Δ |
-1599902720000 = -1 · 213 · 54 · 132 · 432 |
Discriminant |
Eigenvalues |
2- -1 5- -2 -1 13+ -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-37163,2742681] |
[a1,a2,a3,a4,a6] |
Generators |
[195:-1818:1] [-149:2310:1] |
Generators of the group modulo torsion |
j |
-9081900117599425/2559844352 |
j-invariant |
L |
9.4371724800428 |
L(r)(E,1)/r! |
Ω |
0.82536333890588 |
Real period |
R |
0.073294623753323 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27950g1 |
Quadratic twists by: 5 |