Atkin-Lehner |
3+ 5+ 37+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
40515a |
Isogeny class |
Conductor |
40515 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
45533795625 = 36 · 54 · 372 · 73 |
Discriminant |
Eigenvalues |
1 3+ 5+ -2 4 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1283,-14952] |
[a1,a2,a3,a4,a6] |
Generators |
[404:7898:1] |
Generators of the group modulo torsion |
j |
233847364089529/45533795625 |
j-invariant |
L |
4.5164939295783 |
L(r)(E,1)/r! |
Ω |
0.8084398140944 |
Real period |
R |
2.7933396220962 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999962 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121545j1 |
Quadratic twists by: -3 |