Atkin-Lehner |
2- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
98192u |
Isogeny class |
Conductor |
98192 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
2068416 |
Modular degree for the optimal curve |
Δ |
-4.374671928613E+19 |
Discriminant |
Eigenvalues |
2- -2 -1 0 -2 -4 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2677296,1715010388] |
[a1,a2,a3,a4,a6] |
Generators |
[1564:36822:1] |
Generators of the group modulo torsion |
j |
-30508741009/628864 |
j-invariant |
L |
2.7755032856714 |
L(r)(E,1)/r! |
Ω |
0.20271222561417 |
Real period |
R |
0.76065776190838 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999438764 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12274n1 98192w1 |
Quadratic twists by: -4 -19 |