Atkin-Lehner |
5+ 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
67915d |
Isogeny class |
Conductor |
67915 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
141808217875 = 53 · 176 · 47 |
Discriminant |
Eigenvalues |
-1 1 5+ -1 3 -3 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1451,11030] |
[a1,a2,a3,a4,a6] |
Generators |
[5:60:1] [41:124:1] |
Generators of the group modulo torsion |
j |
13997521/5875 |
j-invariant |
L |
7.1125023998822 |
L(r)(E,1)/r! |
Ω |
0.93439811399804 |
Real period |
R |
3.8059272024284 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999385 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
235a1 |
Quadratic twists by: 17 |