Atkin-Lehner |
2+ 3+ 5+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
49590b |
Isogeny class |
Conductor |
49590 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-1735253280 = -1 · 25 · 39 · 5 · 19 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 -5 4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,255,-1315] |
[a1,a2,a3,a4,a6] |
j |
92959677/88160 |
j-invariant |
L |
1.6298540211381 |
L(r)(E,1)/r! |
Ω |
0.81492701036231 |
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 |
49590bd1 |
Quadratic twists by: -3 |