Atkin-Lehner |
3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
38025j |
Isogeny class |
Conductor |
38025 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
112320 |
Modular degree for the optimal curve |
Δ |
401400694536075 = 39 · 52 · 138 |
Discriminant |
Eigenvalues |
1 3+ 5+ -2 -1 13+ 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-18537,125126] |
[a1,a2,a3,a4,a6] |
Generators |
[2030:26363:8] |
Generators of the group modulo torsion |
j |
1755 |
j-invariant |
L |
5.6276042212565 |
L(r)(E,1)/r! |
Ω |
0.45730710571696 |
Real period |
R |
2.0509937964015 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38025m1 38025w1 38025k1 |
Quadratic twists by: -3 5 13 |