Atkin-Lehner |
2+ 3- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
67518s |
Isogeny class |
Conductor |
67518 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
6758400 |
Modular degree for the optimal curve |
Δ |
2.4764722772114E+21 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 11- 2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-43849152,111746219008] |
[a1,a2,a3,a4,a6] |
j |
7219775199978393625/1917563839488 |
j-invariant |
L |
1.1310535876658 |
L(r)(E,1)/r! |
Ω |
0.14138169902016 |
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 |
22506ba1 6138l1 |
Quadratic twists by: -3 -11 |