Atkin-Lehner |
2+ 3- 5- 31+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
38130o |
Isogeny class |
Conductor |
38130 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3989351250 = 2 · 34 · 54 · 312 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -4 -6 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-273328,54978548] |
[a1,a2,a3,a4,a6] |
Generators |
[304:-220:1] |
Generators of the group modulo torsion |
j |
2258259254571000042361/3989351250 |
j-invariant |
L |
3.7315013656549 |
L(r)(E,1)/r! |
Ω |
0.89930813739233 |
Real period |
R |
0.51866279344394 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114390bh2 |
Quadratic twists by: -3 |