Atkin-Lehner |
2- 3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
124950ev |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
2064384 |
Modular degree for the optimal curve |
Δ |
-1389172920975000000 = -1 · 26 · 34 · 58 · 79 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,131662,-53587969] |
[a1,a2,a3,a4,a6] |
Generators |
[5550:151571:8] |
Generators of the group modulo torsion |
j |
400315553/2203200 |
j-invariant |
L |
8.5842827660811 |
L(r)(E,1)/r! |
Ω |
0.13553884818755 |
Real period |
R |
2.6389367403276 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000066062 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24990ba1 124950hz1 |
Quadratic twists by: 5 -7 |