Atkin-Lehner |
2+ 5- 17- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
62050m |
Isogeny class |
Conductor |
62050 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
213600 |
Modular degree for the optimal curve |
Δ |
-1619524390625000 = -1 · 23 · 59 · 175 · 73 |
Discriminant |
Eigenvalues |
2+ 0 5- -1 -3 -4 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,24008,1297416] |
[a1,a2,a3,a4,a6] |
Generators |
[169:3103:1] |
Generators of the group modulo torsion |
j |
783522450459/829196488 |
j-invariant |
L |
3.1252491712036 |
L(r)(E,1)/r! |
Ω |
0.31408863306986 |
Real period |
R |
0.99502141820446 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000041 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62050be1 |
Quadratic twists by: 5 |