Atkin-Lehner |
2- 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
49504k |
Isogeny class |
Conductor |
49504 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
847479220638622208 = 29 · 74 · 134 · 176 |
Discriminant |
Eigenvalues |
2- 2 4 7+ -2 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-384896,80662328] |
[a1,a2,a3,a4,a6] |
Generators |
[36048630:1190752381:27000] |
Generators of the group modulo torsion |
j |
12316436518265478152/1655232852809809 |
j-invariant |
L |
11.052302606171 |
L(r)(E,1)/r! |
Ω |
0.27099015581482 |
Real period |
R |
10.196221494612 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999835 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49504s2 99008bu2 |
Quadratic twists by: -4 8 |