Atkin-Lehner |
5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
23275w |
Isogeny class |
Conductor |
23275 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-3.485424581167E+19 |
Discriminant |
Eigenvalues |
2 -1 5+ 7- -3 -1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-257658,-288384657] |
[a1,a2,a3,a4,a6] |
Generators |
[1043908:133249343:64] |
Generators of the group modulo torsion |
j |
-1029077364736/18960396875 |
j-invariant |
L |
7.7680086666096 |
L(r)(E,1)/r! |
Ω |
0.08892857688399 |
Real period |
R |
5.4594435070793 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4655k1 3325c1 |
Quadratic twists by: 5 -7 |