Atkin-Lehner |
3+ 5- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
38325f |
Isogeny class |
Conductor |
38325 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
681600 |
Modular degree for the optimal curve |
Δ |
1437786328125 = 3 · 58 · 75 · 73 |
Discriminant |
Eigenvalues |
0 3+ 5- 7- -5 -2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-13126583,-18300874432] |
[a1,a2,a3,a4,a6] |
Generators |
[-261430:-38:125] |
Generators of the group modulo torsion |
j |
640352010539722178560/3680733 |
j-invariant |
L |
3.3514767154535 |
L(r)(E,1)/r! |
Ω |
0.079316150777206 |
Real period |
R |
2.8169771079516 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114975bm1 38325k1 |
Quadratic twists by: -3 5 |