Atkin-Lehner |
2+ 3+ 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
103200m |
Isogeny class |
Conductor |
103200 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-17889075000000 = -1 · 26 · 32 · 58 · 433 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 5 5 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4542,164412] |
[a1,a2,a3,a4,a6] |
Generators |
[342:6450:1] |
Generators of the group modulo torsion |
j |
414409280/715563 |
j-invariant |
L |
6.879682046183 |
L(r)(E,1)/r! |
Ω |
0.47307337813936 |
Real period |
R |
0.40395906430394 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999937393 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103200bf1 103200ci1 |
Quadratic twists by: -4 5 |