Atkin-Lehner |
3+ 5+ 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
93075b |
Isogeny class |
Conductor |
93075 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
271488 |
Modular degree for the optimal curve |
Δ |
-84203928675 = -1 · 37 · 52 · 172 · 732 |
Discriminant |
Eigenvalues |
2 3+ 5+ 3 0 1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-36328,2677263] |
[a1,a2,a3,a4,a6] |
j |
-212089967177175040/3368157147 |
j-invariant |
L |
3.953483187656 |
L(r)(E,1)/r! |
Ω |
0.98837081807911 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93075t1 |
Quadratic twists by: 5 |