Atkin-Lehner |
2- 3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
49980q |
Isogeny class |
Conductor |
49980 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
4199898716705422080 = 28 · 314 · 5 · 79 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-405540,12742920] |
[a1,a2,a3,a4,a6] |
Generators |
[8666:232329:8] |
Generators of the group modulo torsion |
j |
714008773168/406552365 |
j-invariant |
L |
5.4490597338844 |
L(r)(E,1)/r! |
Ω |
0.21153968512362 |
Real period |
R |
8.5863474910603 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49980v2 |
Quadratic twists by: -7 |