Atkin-Lehner |
2+ 5+ 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
36050l |
Isogeny class |
Conductor |
36050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
672000 |
Modular degree for the optimal curve |
Δ |
-14082031250000000 = -1 · 27 · 516 · 7 · 103 |
Discriminant |
Eigenvalues |
2+ -3 5+ 7- 6 -3 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,49433,-3846659] |
[a1,a2,a3,a4,a6] |
Generators |
[5422:144939:8] |
Generators of the group modulo torsion |
j |
854967581780031/901250000000 |
j-invariant |
L |
2.774780236696 |
L(r)(E,1)/r! |
Ω |
0.21461455939022 |
Real period |
R |
6.4645666272158 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999956 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7210e1 |
Quadratic twists by: 5 |