Atkin-Lehner |
2- 3+ 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
54390cg |
Isogeny class |
Conductor |
54390 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-1305903900 = -1 · 22 · 3 · 52 · 76 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-50,-1765] |
[a1,a2,a3,a4,a6] |
Generators |
[230:1057:8] |
Generators of the group modulo torsion |
j |
-117649/11100 |
j-invariant |
L |
8.2782129300478 |
L(r)(E,1)/r! |
Ω |
0.67551251601262 |
Real period |
R |
3.0636785898912 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1110o1 |
Quadratic twists by: -7 |