Atkin-Lehner |
2+ 3+ 5+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
38280b |
Isogeny class |
Conductor |
38280 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-4.0377532628232E+27 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 11+ -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-433115556,4624358350356] |
[a1,a2,a3,a4,a6] |
j |
-35099028419721183553547780944/15772473682903289794921875 |
j-invariant |
L |
1.3153832180435 |
L(r)(E,1)/r! |
Ω |
0.04110572556382 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76560m2 114840bi2 |
Quadratic twists by: -4 -3 |