Atkin-Lehner |
2- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
50540n |
Isogeny class |
Conductor |
50540 |
Conductor |
∏ cp |
324 |
Product of Tamagawa factors cp |
deg |
559872 |
Modular degree for the optimal curve |
Δ |
156450360500000000 = 28 · 59 · 74 · 194 |
Discriminant |
Eigenvalues |
2- -2 5- 7- -3 -4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-334045,71722143] |
[a1,a2,a3,a4,a6] |
Generators |
[2381:-113050:1] [-559:9170:1] |
Generators of the group modulo torsion |
j |
123562182270976/4689453125 |
j-invariant |
L |
7.3852148445396 |
L(r)(E,1)/r! |
Ω |
0.32155718542989 |
Real period |
R |
0.63797316958879 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
50540r1 |
Quadratic twists by: -19 |