Atkin-Lehner |
3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
38115bd |
Isogeny class |
Conductor |
38115 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-248172520760443125 = -1 · 37 · 54 · 7 · 1110 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,53338,23481186] |
[a1,a2,a3,a4,a6] |
Generators |
[-184:2814:1] |
Generators of the group modulo torsion |
j |
12994449551/192163125 |
j-invariant |
L |
4.1943633983966 |
L(r)(E,1)/r! |
Ω |
0.23145924401998 |
Real period |
R |
1.1325869204737 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12705c4 3465p4 |
Quadratic twists by: -3 -11 |