Atkin-Lehner |
2+ 3- 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
49350bd |
Isogeny class |
Conductor |
49350 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5.4003998148874E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1937901501,32835301498648] |
[a1,a2,a3,a4,a6] |
Generators |
[182678:-76084926:1] |
Generators of the group modulo torsion |
j |
51510857911263182185075707841/345625588152793267200 |
j-invariant |
L |
6.1238402860295 |
L(r)(E,1)/r! |
Ω |
0.068155290358862 |
Real period |
R |
11.231410382399 |
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 |
9870p4 |
Quadratic twists by: 5 |