Atkin-Lehner |
2+ 3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
68544t |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
-64713186607104 = -1 · 223 · 33 · 75 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- -3 5 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9972,-53776] |
[a1,a2,a3,a4,a6] |
Generators |
[62:-896:1] |
Generators of the group modulo torsion |
j |
15494117157/9143008 |
j-invariant |
L |
6.0240792661501 |
L(r)(E,1)/r! |
Ω |
0.36375278873724 |
Real period |
R |
0.41402289225228 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997295 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68544cx1 2142c1 68544n1 |
Quadratic twists by: -4 8 -3 |