Atkin-Lehner |
2+ 3- 7+ 23+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
124614c |
Isogeny class |
Conductor |
124614 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4915200 |
Modular degree for the optimal curve |
Δ |
-596136951647005608 = -1 · 23 · 322 · 74 · 23 · 43 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -2 6 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5556258,5042584476] |
[a1,a2,a3,a4,a6] |
j |
-26022165739485438553633/817746161381352 |
j-invariant |
L |
1.0814799830609 |
L(r)(E,1)/r! |
Ω |
0.27037003880687 |
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 |
41538l1 |
Quadratic twists by: -3 |