Atkin-Lehner |
2- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
75950ce |
Isogeny class |
Conductor |
75950 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
9072 |
Modular degree for the optimal curve |
Δ |
-75950 = -1 · 2 · 52 · 72 · 31 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 3 -1 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-43,-113] |
[a1,a2,a3,a4,a6] |
Generators |
[60952404:165757291:4410944] |
Generators of the group modulo torsion |
j |
-7188265/62 |
j-invariant |
L |
12.178696344554 |
L(r)(E,1)/r! |
Ω |
0.93159322114152 |
Real period |
R |
13.072976558254 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002252 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75950bo1 75950ca1 |
Quadratic twists by: 5 -7 |