Atkin-Lehner |
2- 7+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
28336o |
Isogeny class |
Conductor |
28336 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-70503580499968 = -1 · 216 · 75 · 112 · 232 |
Discriminant |
Eigenvalues |
2- 0 0 7+ 11+ 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,205,-403982] |
[a1,a2,a3,a4,a6] |
Generators |
[271:4422:1] |
Generators of the group modulo torsion |
j |
232608375/17212788208 |
j-invariant |
L |
4.3954463264167 |
L(r)(E,1)/r! |
Ω |
0.28355536432094 |
Real period |
R |
3.8752981599757 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3542e1 113344df1 |
Quadratic twists by: -4 8 |