Atkin-Lehner |
2+ 3- 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
94800p |
Isogeny class |
Conductor |
94800 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
373248 |
Modular degree for the optimal curve |
Δ |
-248793120000000 = -1 · 211 · 39 · 57 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -2 -5 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-47008,3979988] |
[a1,a2,a3,a4,a6] |
Generators |
[-82:2700:1] [134:324:1] |
Generators of the group modulo torsion |
j |
-359003179442/7774785 |
j-invariant |
L |
12.37931938766 |
L(r)(E,1)/r! |
Ω |
0.55433702253269 |
Real period |
R |
0.15508164214079 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999992824 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47400r1 18960b1 |
Quadratic twists by: -4 5 |