Atkin-Lehner |
2- 3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
49980p |
Isogeny class |
Conductor |
49980 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
-3468057222000 = -1 · 24 · 3 · 53 · 76 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -3 4 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2630,72157] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:85:1] |
Generators of the group modulo torsion |
j |
1068359936/1842375 |
j-invariant |
L |
5.9349823910736 |
L(r)(E,1)/r! |
Ω |
0.54233890884031 |
Real period |
R |
1.2159232486335 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999939 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1020e2 |
Quadratic twists by: -7 |