Atkin-Lehner |
3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
38025cc |
Isogeny class |
Conductor |
38025 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
336960 |
Modular degree for the optimal curve |
Δ |
193267001072925 = 36 · 52 · 139 |
Discriminant |
Eigenvalues |
2 3- 5+ 2 0 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-362505,84005041] |
[a1,a2,a3,a4,a6] |
Generators |
[-279369844:3312445673:438976] |
Generators of the group modulo torsion |
j |
27258880 |
j-invariant |
L |
12.426609219451 |
L(r)(E,1)/r! |
Ω |
0.530173216401 |
Real period |
R |
11.719386075184 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4225g1 38025da2 38025cd1 |
Quadratic twists by: -3 5 13 |