Atkin-Lehner |
2+ 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
14520i |
Isogeny class |
Conductor |
14520 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
22848 |
Modular degree for the optimal curve |
Δ |
-54903750000 = -1 · 24 · 3 · 57 · 114 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11- 6 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16980,857397] |
[a1,a2,a3,a4,a6] |
Generators |
[74:25:1] |
Generators of the group modulo torsion |
j |
-2311381447936/234375 |
j-invariant |
L |
4.7494584186281 |
L(r)(E,1)/r! |
Ω |
1.0719422274241 |
Real period |
R |
0.3164788374064 |
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 |
29040bh1 116160cy1 43560bs1 72600dq1 |
Quadratic twists by: -4 8 -3 5 |