Atkin-Lehner |
2- 3+ 5- 31+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
38130u |
Isogeny class |
Conductor |
38130 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1878947729626320 = 24 · 32 · 5 · 314 · 414 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-37495,1844477] |
[a1,a2,a3,a4,a6] |
Generators |
[205:1578:1] [-410:15453:8] |
Generators of the group modulo torsion |
j |
5829677228439748081/1878947729626320 |
j-invariant |
L |
10.409434040042 |
L(r)(E,1)/r! |
Ω |
0.43268415293871 |
Real period |
R |
1.5036132548047 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114390g3 |
Quadratic twists by: -3 |