Atkin-Lehner |
2- 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74970dq |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-36742206236400 = -1 · 24 · 38 · 52 · 77 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 -4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7727,-389721] |
[a1,a2,a3,a4,a6] |
Generators |
[149:1248:1] |
Generators of the group modulo torsion |
j |
-594823321/428400 |
j-invariant |
L |
10.024120399009 |
L(r)(E,1)/r! |
Ω |
0.2468045179772 |
Real period |
R |
1.2692383633712 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999691 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24990g1 10710bh1 |
Quadratic twists by: -3 -7 |