Atkin-Lehner |
2- 5+ 17+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
51850s |
Isogeny class |
Conductor |
51850 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-10126953125000 = -1 · 23 · 513 · 17 · 61 |
Discriminant |
Eigenvalues |
2- -3 5+ 1 3 -1 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8730,-347103] |
[a1,a2,a3,a4,a6] |
Generators |
[1022:5735:8] |
Generators of the group modulo torsion |
j |
-4708686519081/648125000 |
j-invariant |
L |
6.377110606601 |
L(r)(E,1)/r! |
Ω |
0.24508131570479 |
Real period |
R |
2.1683655580001 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999962 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10370d1 |
Quadratic twists by: 5 |