Atkin-Lehner |
3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
38025cd |
Isogeny class |
Conductor |
38025 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
40040325 = 36 · 52 · 133 |
Discriminant |
Eigenvalues |
-2 3- 5+ -2 0 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2145,38236] |
[a1,a2,a3,a4,a6] |
Generators |
[26:6:1] |
Generators of the group modulo torsion |
j |
27258880 |
j-invariant |
L |
2.1578667043398 |
L(r)(E,1)/r! |
Ω |
1.9115667166115 |
Real period |
R |
0.56442359180804 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999939 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4225f1 38025cx2 38025cc1 |
Quadratic twists by: -3 5 13 |