Atkin-Lehner |
2+ 3- 5+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
49770p |
Isogeny class |
Conductor |
49770 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2939421237321240000 = 26 · 318 · 54 · 74 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-410130,-58344300] |
[a1,a2,a3,a4,a6] |
Generators |
[-420:6510:1] |
Generators of the group modulo torsion |
j |
10465534013510126881/4032127897560000 |
j-invariant |
L |
4.0514444542702 |
L(r)(E,1)/r! |
Ω |
0.19491259324949 |
Real period |
R |
1.2991222074081 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16590bb4 |
Quadratic twists by: -3 |