Atkin-Lehner |
2- 3+ 5+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
48840o |
Isogeny class |
Conductor |
48840 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
755110160640 = 28 · 32 · 5 · 116 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11- -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8436,298116] |
[a1,a2,a3,a4,a6] |
Generators |
[-72:726:1] [0:546:1] |
Generators of the group modulo torsion |
j |
259385049258064/2949649065 |
j-invariant |
L |
7.5706301488834 |
L(r)(E,1)/r! |
Ω |
0.90253484444474 |
Real period |
R |
0.69901550020316 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97680l2 |
Quadratic twists by: -4 |