Atkin-Lehner |
2- 3+ 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
74340f |
Isogeny class |
Conductor |
74340 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-17484768000 = -1 · 28 · 33 · 53 · 73 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 5 -2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,648,404] |
[a1,a2,a3,a4,a6] |
Generators |
[13:105:1] |
Generators of the group modulo torsion |
j |
4353564672/2529625 |
j-invariant |
L |
7.8114336201734 |
L(r)(E,1)/r! |
Ω |
0.74091340893402 |
Real period |
R |
0.58572098867305 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001201 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74340b1 |
Quadratic twists by: -3 |