Atkin-Lehner |
3- 5+ 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
73425k |
Isogeny class |
Conductor |
73425 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-123687854296875 = -1 · 35 · 58 · 114 · 89 |
Discriminant |
Eigenvalues |
0 3- 5+ 0 11- -2 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-51633,4530269] |
[a1,a2,a3,a4,a6] |
Generators |
[63:1237:1] |
Generators of the group modulo torsion |
j |
-974303303827456/7916022675 |
j-invariant |
L |
6.8296920660847 |
L(r)(E,1)/r! |
Ω |
0.59081121449833 |
Real period |
R |
0.28899637892409 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14685d1 |
Quadratic twists by: 5 |