Atkin-Lehner |
3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
38025co |
Isogeny class |
Conductor |
38025 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
423360 |
Modular degree for the optimal curve |
Δ |
28589793058125 = 36 · 54 · 137 |
Discriminant |
Eigenvalues |
2 3- 5- -2 2 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-773175,261676431] |
[a1,a2,a3,a4,a6] |
Generators |
[109590:737:216] |
Generators of the group modulo torsion |
j |
23242854400/13 |
j-invariant |
L |
10.938744492428 |
L(r)(E,1)/r! |
Ω |
0.54590591592471 |
Real period |
R |
3.3396305643305 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4225i1 38025br2 2925r1 |
Quadratic twists by: -3 5 13 |