Atkin-Lehner |
2+ 3- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
112632l |
Isogeny class |
Conductor |
112632 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
97652685809444688 = 24 · 310 · 133 · 196 |
Discriminant |
Eigenvalues |
2+ 3- 4 0 -2 13- 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-235131,-41307318] |
[a1,a2,a3,a4,a6] |
j |
1909913257984/129730653 |
j-invariant |
L |
6.5319760675614 |
L(r)(E,1)/r! |
Ω |
0.21773253317242 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
312e1 |
Quadratic twists by: -19 |