Atkin-Lehner |
2- 5- 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
53960h |
Isogeny class |
Conductor |
53960 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
723456 |
Modular degree for the optimal curve |
Δ |
286675526281250000 = 24 · 59 · 192 · 714 |
Discriminant |
Eigenvalues |
2- -2 5- 0 4 -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-619115,-185930162] |
[a1,a2,a3,a4,a6] |
Generators |
[-489:355:1] |
Generators of the group modulo torsion |
j |
1640281587210561980416/17917220392578125 |
j-invariant |
L |
4.8240039072311 |
L(r)(E,1)/r! |
Ω |
0.17031123103816 |
Real period |
R |
0.78679549032924 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000071 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107920g1 |
Quadratic twists by: -4 |