Atkin-Lehner |
2+ 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
114400r |
Isogeny class |
Conductor |
114400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
50176 |
Modular degree for the optimal curve |
Δ |
163592000 = 26 · 53 · 112 · 132 |
Discriminant |
Eigenvalues |
2+ 0 5- -2 11- 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1145,14900] |
[a1,a2,a3,a4,a6] |
Generators |
[16:26:1] [-29:154:1] |
Generators of the group modulo torsion |
j |
20751532992/20449 |
j-invariant |
L |
10.783648881296 |
L(r)(E,1)/r! |
Ω |
1.8065472621051 |
Real period |
R |
1.4923009637141 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000331 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114400bf1 114400bg1 |
Quadratic twists by: -4 5 |