Atkin-Lehner |
2- 3- 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
48204n |
Isogeny class |
Conductor |
48204 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
302400 |
Modular degree for the optimal curve |
Δ |
1206169061370624 = 28 · 36 · 137 · 103 |
Discriminant |
Eigenvalues |
2- 3- -3 0 -2 13- -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-346719,78562694] |
[a1,a2,a3,a4,a6] |
Generators |
[191:4394:1] |
Generators of the group modulo torsion |
j |
24699555786200272/6463097251 |
j-invariant |
L |
3.7050880912413 |
L(r)(E,1)/r! |
Ω |
0.47458769727651 |
Real period |
R |
0.3717600925241 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999587 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5356b1 |
Quadratic twists by: -3 |