Atkin-Lehner |
2- 3- 5- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
39480bc |
Isogeny class |
Conductor |
39480 |
Conductor |
∏ cp |
600 |
Product of Tamagawa factors cp |
deg |
364800 |
Modular degree for the optimal curve |
Δ |
-240321257618400000 = -1 · 28 · 310 · 55 · 72 · 473 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -2 1 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,117655,-17709525] |
[a1,a2,a3,a4,a6] |
Generators |
[2785:-148050:1] |
Generators of the group modulo torsion |
j |
703576329606677504/938754912571875 |
j-invariant |
L |
7.3061292765465 |
L(r)(E,1)/r! |
Ω |
0.16671234013088 |
Real period |
R |
0.073041276476693 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78960k1 118440p1 |
Quadratic twists by: -4 -3 |