Atkin-Lehner |
2+ 3+ 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
4386b |
Isogeny class |
Conductor |
4386 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
114240 |
Modular degree for the optimal curve |
Δ |
1184252517937053696 = 234 · 3 · 172 · 433 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -2 0 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1392404,629655120] |
[a1,a2,a3,a4,a6] |
j |
298552000881189161456713/1184252517937053696 |
j-invariant |
L |
0.82534597434734 |
L(r)(E,1)/r! |
Ω |
0.27511532478245 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35088r1 13158u1 109650cy1 74562n1 |
Quadratic twists by: -4 -3 5 17 |