Atkin-Lehner |
3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
38025bz |
Isogeny class |
Conductor |
38025 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
134784 |
Modular degree for the optimal curve |
Δ |
-193267001072925 = -1 · 36 · 52 · 139 |
Discriminant |
Eigenvalues |
1 3- 5+ -5 -3 13- -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,14418,-61619] |
[a1,a2,a3,a4,a6] |
Generators |
[692:19427:64] |
Generators of the group modulo torsion |
j |
1715 |
j-invariant |
L |
3.5350802281968 |
L(r)(E,1)/r! |
Ω |
0.33434818659795 |
Real period |
R |
2.6432626001094 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4225e1 38025cw1 38025cb1 |
Quadratic twists by: -3 5 13 |