Atkin-Lehner |
2- 5+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
38480q |
Isogeny class |
Conductor |
38480 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-37017760000000000 = -1 · 214 · 510 · 132 · 372 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 0 13- 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,19144,-9194156] |
[a1,a2,a3,a4,a6] |
Generators |
[300:4862:1] |
Generators of the group modulo torsion |
j |
189425802193991/9037539062500 |
j-invariant |
L |
2.8973224190881 |
L(r)(E,1)/r! |
Ω |
0.17509850666811 |
Real period |
R |
4.1367034965311 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4810b2 |
Quadratic twists by: -4 |