Atkin-Lehner |
2- 3- 23+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
87216i |
Isogeny class |
Conductor |
87216 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
456192 |
Modular degree for the optimal curve |
Δ |
-5877978969931776 = -1 · 223 · 36 · 233 · 79 |
Discriminant |
Eigenvalues |
2- 3- 1 0 4 -4 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,30240,3093876] |
[a1,a2,a3,a4,a6] |
j |
746611651164959/1435053459456 |
j-invariant |
L |
3.5241124964814 |
L(r)(E,1)/r! |
Ω |
0.29367605710834 |
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 |
10902b1 |
Quadratic twists by: -4 |