Atkin-Lehner |
2+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
50864j |
Isogeny class |
Conductor |
50864 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
-6510592 = -1 · 211 · 11 · 172 |
Discriminant |
Eigenvalues |
2+ 2 4 2 11+ -1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-96,-352] |
[a1,a2,a3,a4,a6] |
Generators |
[69982:492990:1331] |
Generators of the group modulo torsion |
j |
-167042/11 |
j-invariant |
L |
12.391746371321 |
L(r)(E,1)/r! |
Ω |
0.75906125449187 |
Real period |
R |
8.1625470263207 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25432y1 50864y1 |
Quadratic twists by: -4 17 |