Atkin-Lehner |
2- 3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
49980d |
Isogeny class |
Conductor |
49980 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-3732603172856167680 = -1 · 28 · 36 · 5 · 712 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 0 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,226364,83122600] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:7938:1] |
Generators of the group modulo torsion |
j |
42590787180464/123932044845 |
j-invariant |
L |
4.2460113909226 |
L(r)(E,1)/r! |
Ω |
0.17510130359242 |
Real period |
R |
2.0207404246357 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000036 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7140n2 |
Quadratic twists by: -7 |