Atkin-Lehner |
2+ 7+ 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
79618a |
Isogeny class |
Conductor |
79618 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
332640 |
Modular degree for the optimal curve |
Δ |
-24824473290848 = -1 · 25 · 7 · 119 · 47 |
Discriminant |
Eigenvalues |
2+ 1 0 7+ 11+ -2 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-120761,16144060] |
[a1,a2,a3,a4,a6] |
Generators |
[6078:13585:27] |
Generators of the group modulo torsion |
j |
-82597038875/10528 |
j-invariant |
L |
4.0610802806844 |
L(r)(E,1)/r! |
Ω |
0.64708845338481 |
Real period |
R |
3.1379637974841 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992645 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79618y1 |
Quadratic twists by: -11 |