Atkin-Lehner |
2+ 3- 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
49350bd |
Isogeny class |
Conductor |
49350 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
-1.3562579269157E+29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,827214499,-15168629373352] |
[a1,a2,a3,a4,a6] |
Generators |
[16656:-1805624:1] |
Generators of the group modulo torsion |
j |
4006434994624229826804102719/8680050732260742187500000 |
j-invariant |
L |
6.1238402860295 |
L(r)(E,1)/r! |
Ω |
0.017038822589716 |
Real period |
R |
5.6157051911993 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9870p6 |
Quadratic twists by: 5 |