Atkin-Lehner |
2+ 17+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
51442b |
Isogeny class |
Conductor |
51442 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
24472791558272 = 27 · 176 · 892 |
Discriminant |
Eigenvalues |
2+ -2 -2 0 0 -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-197827,33849534] |
[a1,a2,a3,a4,a6] |
Generators |
[262:13:1] [2198:2943:8] |
Generators of the group modulo torsion |
j |
35471840526793/1013888 |
j-invariant |
L |
4.2246375516715 |
L(r)(E,1)/r! |
Ω |
0.62583525194635 |
Real period |
R |
3.3751994143279 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
178b2 |
Quadratic twists by: 17 |