Atkin-Lehner |
3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
38025ct |
Isogeny class |
Conductor |
38025 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-625630078125 = -1 · 36 · 58 · 133 |
Discriminant |
Eigenvalues |
1 3- 5- -5 3 13- 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2133,-3834] |
[a1,a2,a3,a4,a6] |
j |
1715 |
j-invariant |
L |
2.1564810064022 |
L(r)(E,1)/r! |
Ω |
0.53912025160577 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4225o1 38025cb1 38025cw1 |
Quadratic twists by: -3 5 13 |