Atkin-Lehner |
5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
51425i |
Isogeny class |
Conductor |
51425 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
228096 |
Modular degree for the optimal curve |
Δ |
-4839821610078125 = -1 · 57 · 118 · 172 |
Discriminant |
Eigenvalues |
-1 -1 5+ -3 11- -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,42287,45156] |
[a1,a2,a3,a4,a6] |
Generators |
[0:212:1] [50:1487:1] |
Generators of the group modulo torsion |
j |
2496791/1445 |
j-invariant |
L |
4.4403885758664 |
L(r)(E,1)/r! |
Ω |
0.25886573098876 |
Real period |
R |
1.4294374922043 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10285g1 51425p1 |
Quadratic twists by: 5 -11 |