Atkin-Lehner |
3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
38115l |
Isogeny class |
Conductor |
38115 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.8388481902357E+22 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 11- -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-39163185,94117226616] |
[a1,a2,a3,a4,a6] |
Generators |
[-111410900:-1568977038:15625] |
Generators of the group modulo torsion |
j |
5143681768032498601/14238434358225 |
j-invariant |
L |
4.7828705298128 |
L(r)(E,1)/r! |
Ω |
0.12291983010808 |
Real period |
R |
9.7276219093493 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12705o2 3465l2 |
Quadratic twists by: -3 -11 |