Atkin-Lehner |
2+ 3- 7- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
50232m |
Isogeny class |
Conductor |
50232 |
Conductor |
∏ cp |
280 |
Product of Tamagawa factors cp |
deg |
16853760 |
Modular degree for the optimal curve |
Δ |
1039885743949049088 = 28 · 314 · 75 · 133 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 1 13+ 7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3456776337,-78227856646317] |
[a1,a2,a3,a4,a6] |
j |
17844220786548594787610530075648/4062053687300973 |
j-invariant |
L |
5.5130225111217 |
L(r)(E,1)/r! |
Ω |
0.019689366115202 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100464b1 |
Quadratic twists by: -4 |