Atkin-Lehner |
2+ 3+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
44640g |
Isogeny class |
Conductor |
44640 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
-976276800000 = -1 · 29 · 39 · 55 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 5 0 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2133,28674] |
[a1,a2,a3,a4,a6] |
Generators |
[18:270:1] |
Generators of the group modulo torsion |
j |
106496424/96875 |
j-invariant |
L |
6.9288466241422 |
L(r)(E,1)/r! |
Ω |
0.57468778074821 |
Real period |
R |
1.2056714717544 |
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 |
44640bc1 89280k1 44640ba1 |
Quadratic twists by: -4 8 -3 |