Atkin-Lehner |
2+ 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74970bq |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-5353864337304000 = -1 · 26 · 39 · 53 · 76 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,11016,-3494912] |
[a1,a2,a3,a4,a6] |
j |
1723683599/62424000 |
j-invariant |
L |
2.4788439304976 |
L(r)(E,1)/r! |
Ω |
0.20657032725708 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24990bm1 1530d1 |
Quadratic twists by: -3 -7 |