Atkin-Lehner |
3- 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
103455t |
Isogeny class |
Conductor |
103455 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
633600 |
Modular degree for the optimal curve |
Δ |
5388889022226765 = 37 · 5 · 1110 · 19 |
Discriminant |
Eigenvalues |
2 3- 5+ 0 11- -1 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-43923,281839] |
[a1,a2,a3,a4,a6] |
j |
495616/285 |
j-invariant |
L |
1.4648459613309 |
L(r)(E,1)/r! |
Ω |
0.36621156748063 |
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 |
34485j1 103455o1 |
Quadratic twists by: -3 -11 |