Atkin-Lehner |
2- 3- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
103968bq |
Isogeny class |
Conductor |
103968 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
525312 |
Modular degree for the optimal curve |
Δ |
-2377155351722688 = -1 · 26 · 37 · 198 |
Discriminant |
Eigenvalues |
2- 3- -4 1 -2 -1 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20577,2606420] |
[a1,a2,a3,a4,a6] |
Generators |
[361:6498:1] |
Generators of the group modulo torsion |
j |
-1216/3 |
j-invariant |
L |
4.08342100287 |
L(r)(E,1)/r! |
Ω |
0.40649063542148 |
Real period |
R |
0.41856448063519 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005172 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103968s1 34656c1 103968bb1 |
Quadratic twists by: -4 -3 -19 |