Atkin-Lehner |
2+ 3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
41454bb |
Isogeny class |
Conductor |
41454 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
-451557737841857472 = -1 · 26 · 312 · 710 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 2 4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1555416,747740160] |
[a1,a2,a3,a4,a6] |
j |
-4852301599161073/5264989632 |
j-invariant |
L |
2.3639520674538 |
L(r)(E,1)/r! |
Ω |
0.29549400844138 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13818bd1 5922d1 |
Quadratic twists by: -3 -7 |