Atkin-Lehner |
3- 11+ 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
79101g |
Isogeny class |
Conductor |
79101 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
224052712389 = 36 · 113 · 173 · 47 |
Discriminant |
Eigenvalues |
1 3- -3 1 11+ -3 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6831,-214412] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:58:1] |
Generators of the group modulo torsion |
j |
48359833994737/307342541 |
j-invariant |
L |
4.6407807755333 |
L(r)(E,1)/r! |
Ω |
0.52534158310007 |
Real period |
R |
1.4723058064407 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999925775 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8789a1 |
Quadratic twists by: -3 |