Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
46800bj |
Isogeny class |
Conductor |
46800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
-303264000000 = -1 · 211 · 36 · 56 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 5 -2 13- -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3675,-89750] |
[a1,a2,a3,a4,a6] |
Generators |
[1281:45796:1] |
Generators of the group modulo torsion |
j |
-235298/13 |
j-invariant |
L |
7.2973533303503 |
L(r)(E,1)/r! |
Ω |
0.3056070841129 |
Real period |
R |
5.9695551164228 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000035 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23400bo1 5200f1 1872e1 |
Quadratic twists by: -4 -3 5 |