Atkin-Lehner |
3- 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
79497h |
Isogeny class |
Conductor |
79497 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
557568 |
Modular degree for the optimal curve |
Δ |
-607074873655109409 = -1 · 312 · 118 · 732 |
Discriminant |
Eigenvalues |
1 3- -1 -2 11- -1 1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-122535,40992034] |
[a1,a2,a3,a4,a6] |
Generators |
[-366:6242:1] |
Generators of the group modulo torsion |
j |
-1302078481/3884841 |
j-invariant |
L |
4.4563914096878 |
L(r)(E,1)/r! |
Ω |
0.25468523042113 |
Real period |
R |
4.374410918086 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981376 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26499b1 79497m1 |
Quadratic twists by: -3 -11 |