Atkin-Lehner |
2- 11- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
15466f |
Isogeny class |
Conductor |
15466 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
31104 |
Modular degree for the optimal curve |
Δ |
-23592997463552 = -1 · 29 · 116 · 19 · 372 |
Discriminant |
Eigenvalues |
2- 1 0 -1 11- -1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2407,229433] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:171:1] |
Generators of the group modulo torsion |
j |
1542200025755375/23592997463552 |
j-invariant |
L |
8.3062857852622 |
L(r)(E,1)/r! |
Ω |
0.50116749745637 |
Real period |
R |
1.3811559720419 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
123728k1 |
Quadratic twists by: -4 |