Atkin-Lehner |
2- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
75950cc |
Isogeny class |
Conductor |
75950 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
-155119265308000000 = -1 · 28 · 56 · 79 · 312 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 0 4 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,125945,7912447] |
[a1,a2,a3,a4,a6] |
Generators |
[139:5230:1] |
Generators of the group modulo torsion |
j |
350402625/246016 |
j-invariant |
L |
10.593375684454 |
L(r)(E,1)/r! |
Ω |
0.20538394910316 |
Real period |
R |
3.2236500621511 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998057 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3038a1 75950cl1 |
Quadratic twists by: 5 -7 |