Atkin-Lehner |
2- 5+ 11+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
121550bm |
Isogeny class |
Conductor |
121550 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
145471040000000 = 212 · 57 · 112 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 11+ 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1184380,496413247] |
[a1,a2,a3,a4,a6] |
Generators |
[229:15285:1] |
Generators of the group modulo torsion |
j |
11759166443604582729/9310146560 |
j-invariant |
L |
9.9258909129499 |
L(r)(E,1)/r! |
Ω |
0.48269389148296 |
Real period |
R |
1.7136275989691 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021522 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24310a1 |
Quadratic twists by: 5 |