Atkin-Lehner |
2+ 3- 41- |
Signs for the Atkin-Lehner involutions |
Class |
23616r |
Isogeny class |
Conductor |
23616 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2580480 |
Modular degree for the optimal curve |
Δ |
6.8222291532268E+19 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 4 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-261444396,1627110720560] |
[a1,a2,a3,a4,a6] |
Generators |
[87601924883198:-171690617946112:9274236301] |
Generators of the group modulo torsion |
j |
10341755683137709164937/356992303104 |
j-invariant |
L |
5.0350826933414 |
L(r)(E,1)/r! |
Ω |
0.14394698603578 |
Real period |
R |
17.489364772424 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23616cd1 738h1 7872b1 |
Quadratic twists by: -4 8 -3 |