Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
29988bn |
Isogeny class |
Conductor |
29988 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
3155109629688576 = 28 · 311 · 72 · 175 |
Discriminant |
Eigenvalues |
2- 3- 3 7- -2 3 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-130431,17928358] |
[a1,a2,a3,a4,a6] |
Generators |
[-73:5202:1] |
Generators of the group modulo torsion |
j |
26835062456272/345025251 |
j-invariant |
L |
7.2794744847426 |
L(r)(E,1)/r! |
Ω |
0.4502361302609 |
Real period |
R |
0.53893753340232 |
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 |
119952gw1 9996k1 29988s1 |
Quadratic twists by: -4 -3 -7 |