Atkin-Lehner |
2- 3- 7+ 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
76986bb |
Isogeny class |
Conductor |
76986 |
Conductor |
∏ cp |
248 |
Product of Tamagawa factors cp |
deg |
2142720 |
Modular degree for the optimal curve |
Δ |
-7.6471705429674E+19 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ -3 13- 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1051087,-70863775] |
[a1,a2,a3,a4,a6] |
Generators |
[1335:60244:1] |
Generators of the group modulo torsion |
j |
176162135072147897399/104899458751266816 |
j-invariant |
L |
8.0913590439558 |
L(r)(E,1)/r! |
Ω |
0.11300683110661 |
Real period |
R |
0.28871217283442 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001216 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25662n1 |
Quadratic twists by: -3 |