Atkin-Lehner |
2- 3+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
46800cs |
Isogeny class |
Conductor |
46800 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
-1214853120000 = -1 · 215 · 33 · 54 · 133 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -6 13- 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1275,55850] |
[a1,a2,a3,a4,a6] |
Generators |
[29:208:1] [55:-390:1] |
Generators of the group modulo torsion |
j |
-3316275/17576 |
j-invariant |
L |
8.8261027407932 |
L(r)(E,1)/r! |
Ω |
0.74821494950652 |
Real period |
R |
0.16383628844846 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5850bi1 46800cr2 46800ca1 |
Quadratic twists by: -4 -3 5 |