Atkin-Lehner |
5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
50225l |
Isogeny class |
Conductor |
50225 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
1884222265625 = 58 · 76 · 41 |
Discriminant |
Eigenvalues |
-1 2 5+ 7- 0 -4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3088,-344] |
[a1,a2,a3,a4,a6] |
Generators |
[-442:805:8] |
Generators of the group modulo torsion |
j |
1771561/1025 |
j-invariant |
L |
5.3627055427927 |
L(r)(E,1)/r! |
Ω |
0.70481536341879 |
Real period |
R |
3.8043336035903 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000058 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10045h1 1025a1 |
Quadratic twists by: 5 -7 |