Atkin-Lehner |
2- 3- 5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
44730bw |
Isogeny class |
Conductor |
44730 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-1775333700 = -1 · 22 · 36 · 52 · 73 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -5 -1 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-698,-7203] |
[a1,a2,a3,a4,a6] |
Generators |
[33:53:1] |
Generators of the group modulo torsion |
j |
-51520374361/2435300 |
j-invariant |
L |
7.9227849741505 |
L(r)(E,1)/r! |
Ω |
0.46318863200579 |
Real period |
R |
1.4254064878921 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4970f1 |
Quadratic twists by: -3 |