Atkin-Lehner |
2+ 7+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
95942f |
Isogeny class |
Conductor |
95942 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
2782080 |
Modular degree for the optimal curve |
Δ |
6423407997214523392 = 221 · 74 · 115 · 892 |
Discriminant |
Eigenvalues |
2+ 3 0 7+ 11- -3 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-485452,-45482032] |
[a1,a2,a3,a4,a6] |
Generators |
[-16701:122404:27] |
Generators of the group modulo torsion |
j |
5269518569577677625/2675305288302592 |
j-invariant |
L |
9.1508537726733 |
L(r)(E,1)/r! |
Ω |
0.19086602974951 |
Real period |
R |
4.7943857694322 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004024 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95942t1 |
Quadratic twists by: -7 |