Atkin-Lehner |
2- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
121520bn |
Isogeny class |
Conductor |
121520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
819830336389120 = 217 · 5 · 79 · 31 |
Discriminant |
Eigenvalues |
2- 3 5+ 7- 1 1 -6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-97363,11611922] |
[a1,a2,a3,a4,a6] |
Generators |
[3549:28126:27] |
Generators of the group modulo torsion |
j |
211815318681/1701280 |
j-invariant |
L |
12.811621862767 |
L(r)(E,1)/r! |
Ω |
0.50464330221572 |
Real period |
R |
3.1734350141104 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000049694 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15190k1 17360bn1 |
Quadratic twists by: -4 -7 |