Atkin-Lehner |
2- 3- 5- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
118440ch |
Isogeny class |
Conductor |
118440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
190464 |
Modular degree for the optimal curve |
Δ |
-657413774640 = -1 · 24 · 312 · 5 · 7 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 -6 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3702,95069] |
[a1,a2,a3,a4,a6] |
Generators |
[10:243:1] [50:187:1] |
Generators of the group modulo torsion |
j |
-481044711424/56362635 |
j-invariant |
L |
12.04582017162 |
L(r)(E,1)/r! |
Ω |
0.88386428605147 |
Real period |
R |
3.4071464256599 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997219 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39480a1 |
Quadratic twists by: -3 |