Atkin-Lehner |
3- 5- 37+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
40515h |
Isogeny class |
Conductor |
40515 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
47104 |
Modular degree for the optimal curve |
Δ |
-11075788125 = -1 · 38 · 54 · 37 · 73 |
Discriminant |
Eigenvalues |
1 3- 5- 5 -4 3 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-803,-10177] |
[a1,a2,a3,a4,a6] |
Generators |
[39:115:1] |
Generators of the group modulo torsion |
j |
-57160057694761/11075788125 |
j-invariant |
L |
10.764612054245 |
L(r)(E,1)/r! |
Ω |
0.44384531453574 |
Real period |
R |
0.75790847774751 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121545e1 |
Quadratic twists by: -3 |