Atkin-Lehner |
2+ 3+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
115320g |
Isogeny class |
Conductor |
115320 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
1.7685548552377E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 -6 6 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5035960,4346793100] |
[a1,a2,a3,a4,a6] |
Generators |
[10970:33705:8] |
Generators of the group modulo torsion |
j |
7770885300722/9730125 |
j-invariant |
L |
7.3542641714571 |
L(r)(E,1)/r! |
Ω |
0.2179931120252 |
Real period |
R |
5.6227037438893 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000006622 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3720e2 |
Quadratic twists by: -31 |