Atkin-Lehner |
3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
21315o |
Isogeny class |
Conductor |
21315 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
17808 |
Modular degree for the optimal curve |
Δ |
122876733315 = 3 · 5 · 710 · 29 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- -2 -4 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2451,43350] |
[a1,a2,a3,a4,a6] |
j |
5764801/435 |
j-invariant |
L |
1.0235169438641 |
L(r)(E,1)/r! |
Ω |
1.0235169438641 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63945z1 106575p1 21315g1 |
Quadratic twists by: -3 5 -7 |