Atkin-Lehner |
2- 3+ 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
38850cd |
Isogeny class |
Conductor |
38850 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
47040 |
Modular degree for the optimal curve |
Δ |
-17701031250 = -1 · 2 · 37 · 56 · 7 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -6 -4 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,437,5531] |
[a1,a2,a3,a4,a6] |
Generators |
[5590:87207:1000] |
Generators of the group modulo torsion |
j |
590589719/1132866 |
j-invariant |
L |
6.8092950888298 |
L(r)(E,1)/r! |
Ω |
0.84707555311419 |
Real period |
R |
8.0385923826909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116550bx1 1554b1 |
Quadratic twists by: -3 5 |