Atkin-Lehner |
2- 5- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
51800x |
Isogeny class |
Conductor |
51800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
44928 |
Modular degree for the optimal curve |
Δ |
-34747958000 = -1 · 24 · 53 · 73 · 373 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ -4 -4 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,772,3773] |
[a1,a2,a3,a4,a6] |
Generators |
[2:73:1] [23:185:1] |
Generators of the group modulo torsion |
j |
25408728832/17373979 |
j-invariant |
L |
10.362951371152 |
L(r)(E,1)/r! |
Ω |
0.73265795653317 |
Real period |
R |
1.1786936499203 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103600y1 51800f1 |
Quadratic twists by: -4 5 |