Atkin-Lehner |
2- 3- 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
79632q |
Isogeny class |
Conductor |
79632 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
171998134115254272 = 214 · 318 · 73 · 79 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 0 -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-151275,-10710502] |
[a1,a2,a3,a4,a6] |
Generators |
[437:2576:1] |
Generators of the group modulo torsion |
j |
128214670515625/57601827108 |
j-invariant |
L |
4.7632360646606 |
L(r)(E,1)/r! |
Ω |
0.25246980455717 |
Real period |
R |
4.716639351566 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000763 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9954k1 26544h1 |
Quadratic twists by: -4 -3 |