Atkin-Lehner |
2+ 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
46550bm |
Isogeny class |
Conductor |
46550 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
5097934996892500 = 22 · 54 · 77 · 195 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- -3 -1 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-245025,46455025] |
[a1,a2,a3,a4,a6] |
Generators |
[300:95:1] [220:-1915:1] |
Generators of the group modulo torsion |
j |
22125312720025/69330772 |
j-invariant |
L |
5.6707330804498 |
L(r)(E,1)/r! |
Ω |
0.43282250771011 |
Real period |
R |
0.10918126521137 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46550cj2 6650i1 |
Quadratic twists by: 5 -7 |