Atkin-Lehner |
2+ 3+ 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
50184c |
Isogeny class |
Conductor |
50184 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
60672 |
Modular degree for the optimal curve |
Δ |
-14048308224 = -1 · 210 · 39 · 17 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -1 -4 -4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31563,2158326] |
[a1,a2,a3,a4,a6] |
Generators |
[63:648:1] [90:216:1] |
Generators of the group modulo torsion |
j |
-172531059372/697 |
j-invariant |
L |
8.5948713741177 |
L(r)(E,1)/r! |
Ω |
1.1017696959935 |
Real period |
R |
1.950242279619 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100368f1 50184r1 |
Quadratic twists by: -4 -3 |