Atkin-Lehner |
2- 3+ 7- 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
100674bb |
Isogeny class |
Conductor |
100674 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
-172616445792 = -1 · 25 · 39 · 73 · 17 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -1 4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8264,-287765] |
[a1,a2,a3,a4,a6] |
j |
-3170692141371/8769824 |
j-invariant |
L |
7.5097481493298 |
L(r)(E,1)/r! |
Ω |
0.25032495140485 |
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 |
100674a1 |
Quadratic twists by: -3 |