Atkin-Lehner |
2- 3- 11+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
97614bd |
Isogeny class |
Conductor |
97614 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
3096576 |
Modular degree for the optimal curve |
Δ |
-7.5374800745511E+19 |
Discriminant |
Eigenvalues |
2- 3- 3 1 11+ 1 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-24521,-417702967] |
[a1,a2,a3,a4,a6] |
Generators |
[53268:725023:64] |
Generators of the group modulo torsion |
j |
-2236629823407433/103394788402621056 |
j-invariant |
L |
14.64789798369 |
L(r)(E,1)/r! |
Ω |
0.088429108234705 |
Real period |
R |
2.9579582108477 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002707 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32538m1 |
Quadratic twists by: -3 |