Atkin-Lehner |
2- 79- |
Signs for the Atkin-Lehner involutions |
Class |
99856k |
Isogeny class |
Conductor |
99856 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1198080 |
Modular degree for the optimal curve |
Δ |
314636844829229056 = 214 · 797 |
Discriminant |
Eigenvalues |
2- -1 -1 -3 -4 -7 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-351576,75679984] |
[a1,a2,a3,a4,a6] |
Generators |
[-342:12482:1] |
Generators of the group modulo torsion |
j |
4826809/316 |
j-invariant |
L |
1.3134451223066 |
L(r)(E,1)/r! |
Ω |
0.30026259422473 |
Real period |
R |
0.54679018424152 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000065254 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12482c1 1264g1 |
Quadratic twists by: -4 -79 |