Atkin-Lehner |
2- 3+ 5- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
49590bd |
Isogeny class |
Conductor |
49590 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
-2380320 = -1 · 25 · 33 · 5 · 19 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 5 4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,28,39] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:3:1] |
Generators of the group modulo torsion |
j |
92959677/88160 |
j-invariant |
L |
11.625956637181 |
L(r)(E,1)/r! |
Ω |
1.6939778664456 |
Real period |
R |
0.68631101193793 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999771 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49590b1 |
Quadratic twists by: -3 |