Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
77616gq |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-1298397524852736 = -1 · 216 · 37 · 77 · 11 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,24549,902090] |
[a1,a2,a3,a4,a6] |
Generators |
[29:1280:1] |
Generators of the group modulo torsion |
j |
4657463/3696 |
j-invariant |
L |
3.948471755758 |
L(r)(E,1)/r! |
Ω |
0.31099491892475 |
Real period |
R |
3.1740645228424 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999612 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9702bx1 25872bm1 11088bm1 |
Quadratic twists by: -4 -3 -7 |