Atkin-Lehner |
2- 3- 5- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
20460n |
Isogeny class |
Conductor |
20460 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
570834000 = 24 · 33 · 53 · 11 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11+ 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12385,526400] |
[a1,a2,a3,a4,a6] |
Generators |
[73:129:1] |
Generators of the group modulo torsion |
j |
13131877655658496/35677125 |
j-invariant |
L |
5.8700865701981 |
L(r)(E,1)/r! |
Ω |
1.4206377515271 |
Real period |
R |
2.754672007408 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
81840ck1 61380n1 102300f1 |
Quadratic twists by: -4 -3 5 |