Atkin-Lehner |
11- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
98549h |
Isogeny class |
Conductor |
98549 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1044480 |
Modular degree for the optimal curve |
Δ |
592059579029268757 = 115 · 179 · 31 |
Discriminant |
Eigenvalues |
0 1 -2 -3 11- -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1025179,397468023] |
[a1,a2,a3,a4,a6] |
Generators |
[-771:27021:1] |
Generators of the group modulo torsion |
j |
1004807684096/4992581 |
j-invariant |
L |
3.2988705506689 |
L(r)(E,1)/r! |
Ω |
0.29161984986859 |
Real period |
R |
1.1312229101062 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999955689 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98549a1 |
Quadratic twists by: 17 |