Atkin-Lehner |
2- 3+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
61488n |
Isogeny class |
Conductor |
61488 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-14699649871872 = -1 · 212 · 39 · 72 · 612 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 0 2 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1539,185922] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:432:1] |
Generators of the group modulo torsion |
j |
-5000211/182329 |
j-invariant |
L |
7.3157356298343 |
L(r)(E,1)/r! |
Ω |
0.58453172945735 |
Real period |
R |
1.5644436523165 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3843a2 61488o2 |
Quadratic twists by: -4 -3 |