Atkin-Lehner |
2- 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
98736cb |
Isogeny class |
Conductor |
98736 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4257792 |
Modular degree for the optimal curve |
Δ |
-1.0153490735787E+21 |
Discriminant |
Eigenvalues |
2- 3+ -3 1 11- -4 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,857608,-1502583696] |
[a1,a2,a3,a4,a6] |
Generators |
[2268:110016:1] |
Generators of the group modulo torsion |
j |
79448965607/1156415616 |
j-invariant |
L |
3.3160662594419 |
L(r)(E,1)/r! |
Ω |
0.076305412107136 |
Real period |
R |
5.4322265462315 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999315022 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12342m1 98736ct1 |
Quadratic twists by: -4 -11 |