Atkin-Lehner |
3+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
21315f |
Isogeny class |
Conductor |
21315 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
111924787905 = 38 · 5 · 76 · 29 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 0 -6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1471,13964] |
[a1,a2,a3,a4,a6] |
Generators |
[6:70:1] |
Generators of the group modulo torsion |
j |
2992209121/951345 |
j-invariant |
L |
1.6051638577444 |
L(r)(E,1)/r! |
Ω |
0.97419953423391 |
Real period |
R |
1.647674630646 |
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 |
63945y1 106575cb1 435d1 |
Quadratic twists by: -3 5 -7 |