Atkin-Lehner |
2- 3+ 5- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
74100p |
Isogeny class |
Conductor |
74100 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
564480 |
Modular degree for the optimal curve |
Δ |
-22871335500000000 = -1 · 28 · 33 · 59 · 13 · 194 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 3 13- 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,24667,7113537] |
[a1,a2,a3,a4,a6] |
Generators |
[567:14250:1] |
Generators of the group modulo torsion |
j |
3319595008/45742671 |
j-invariant |
L |
6.9489269690725 |
L(r)(E,1)/r! |
Ω |
0.28185938912616 |
Real period |
R |
1.0272449131935 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998511 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74100bk1 |
Quadratic twists by: 5 |