Atkin-Lehner |
2- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
114950ch |
Isogeny class |
Conductor |
114950 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-65741521484375000 = -1 · 23 · 512 · 116 · 19 |
Discriminant |
Eigenvalues |
2- -1 5+ -1 11- -1 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-90813,16183531] |
[a1,a2,a3,a4,a6] |
Generators |
[-335:3192:1] |
Generators of the group modulo torsion |
j |
-2992209121/2375000 |
j-invariant |
L |
7.0272506444188 |
L(r)(E,1)/r! |
Ω |
0.31971663275291 |
Real period |
R |
1.8316351546011 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999369423 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22990l1 950b1 |
Quadratic twists by: 5 -11 |