Atkin-Lehner |
3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
38025i |
Isogeny class |
Conductor |
38025 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-16545019130859375 = -1 · 33 · 510 · 137 |
Discriminant |
Eigenvalues |
1 3+ 5+ 2 -4 13+ -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-102192,-13988909] |
[a1,a2,a3,a4,a6] |
Generators |
[836436:95172407:64] |
Generators of the group modulo torsion |
j |
-57960603/8125 |
j-invariant |
L |
6.1892539023728 |
L(r)(E,1)/r! |
Ω |
0.13247961749924 |
Real period |
R |
5.8398171160255 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38025l1 7605b1 2925d1 |
Quadratic twists by: -3 5 13 |