Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
14520bc |
Isogeny class |
Conductor |
14520 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
31680 |
Modular degree for the optimal curve |
Δ |
-4167136646640 = -1 · 24 · 35 · 5 · 118 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11- -4 -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,444,98001] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:121:1] |
Generators of the group modulo torsion |
j |
2816/1215 |
j-invariant |
L |
2.9005649359594 |
L(r)(E,1)/r! |
Ω |
0.60606895387915 |
Real period |
R |
0.79764437071458 |
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 |
29040z1 116160ek1 43560bd1 72600bn1 |
Quadratic twists by: -4 8 -3 5 |