Atkin-Lehner |
2+ 3+ 5+ 31+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
38130c |
Isogeny class |
Conductor |
38130 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
70954858710 = 2 · 34 · 5 · 31 · 414 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1968,30258] |
[a1,a2,a3,a4,a6] |
Generators |
[254:131:8] [41:123:1] |
Generators of the group modulo torsion |
j |
843613961052169/70954858710 |
j-invariant |
L |
5.508412886271 |
L(r)(E,1)/r! |
Ω |
1.0685329842842 |
Real period |
R |
2.5775586562552 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114390bp4 |
Quadratic twists by: -3 |