Atkin-Lehner |
2- 5- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
104780r |
Isogeny class |
Conductor |
104780 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
313566889152400 = 24 · 52 · 138 · 312 |
Discriminant |
Eigenvalues |
2- -1 5- -1 5 13+ 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-31490,1985437] |
[a1,a2,a3,a4,a6] |
j |
264599296/24025 |
j-invariant |
L |
2.1192840187619 |
L(r)(E,1)/r! |
Ω |
0.52982113538001 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104780e1 |
Quadratic twists by: 13 |