Atkin-Lehner |
3+ 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
38955d |
Isogeny class |
Conductor |
38955 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
3273583425 = 3 · 52 · 77 · 53 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 0 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-28421,1832354] |
[a1,a2,a3,a4,a6] |
Generators |
[98:-31:1] |
Generators of the group modulo torsion |
j |
21580151584321/27825 |
j-invariant |
L |
1.4753120002101 |
L(r)(E,1)/r! |
Ω |
1.1978670904454 |
Real period |
R |
2.4632315420917 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
116865bb1 5565f1 |
Quadratic twists by: -3 -7 |