Atkin-Lehner |
2+ 3+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
85800h |
Isogeny class |
Conductor |
85800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1320960 |
Modular degree for the optimal curve |
Δ |
-961825172343750000 = -1 · 24 · 316 · 510 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 11- 13- 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-532708,157092037] |
[a1,a2,a3,a4,a6] |
Generators |
[-270326:3195207:343] |
Generators of the group modulo torsion |
j |
-106997137235200/6155681103 |
j-invariant |
L |
6.8953903007886 |
L(r)(E,1)/r! |
Ω |
0.27483709215738 |
Real period |
R |
6.2722522671318 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004763 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85800db1 |
Quadratic twists by: 5 |