Atkin-Lehner |
5+ 7- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
68425f |
Isogeny class |
Conductor |
68425 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
1.7954323552756E+24 |
Discriminant |
Eigenvalues |
1 0 5+ 7- -4 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-38868317,67412901216] |
[a1,a2,a3,a4,a6] |
Generators |
[60324:-14769162:1] |
Generators of the group modulo torsion |
j |
415614700715165673067809/114907670737639613225 |
j-invariant |
L |
6.3066827844052 |
L(r)(E,1)/r! |
Ω |
0.077974307418846 |
Real period |
R |
2.2467097009497 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999851 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13685a4 |
Quadratic twists by: 5 |