Atkin-Lehner |
2+ 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
98736ba |
Isogeny class |
Conductor |
98736 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
24330240 |
Modular degree for the optimal curve |
Δ |
-2.1078051836397E+24 |
Discriminant |
Eigenvalues |
2+ 3- 1 5 11- 0 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-123149000,-530669234988] |
[a1,a2,a3,a4,a6] |
Generators |
[707542862:8756907651:54872] |
Generators of the group modulo torsion |
j |
-470484099871289042/4801302120177 |
j-invariant |
L |
11.520133170872 |
L(r)(E,1)/r! |
Ω |
0.022646318888807 |
Real period |
R |
10.597871339498 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020681 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49368d1 98736bf1 |
Quadratic twists by: -4 -11 |