Atkin-Lehner |
3+ 11- 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
79101b |
Isogeny class |
Conductor |
79101 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1769472 |
Modular degree for the optimal curve |
Δ |
-8589315925471726071 = -1 · 39 · 113 · 178 · 47 |
Discriminant |
Eigenvalues |
-1 3+ -2 -2 11- 2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-716501,272899396] |
[a1,a2,a3,a4,a6] |
Generators |
[161:12635:1] |
Generators of the group modulo torsion |
j |
-2066722911271508139/436382458236637 |
j-invariant |
L |
2.338512366003 |
L(r)(E,1)/r! |
Ω |
0.22215070219699 |
Real period |
R |
0.87722446121112 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023493 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79101a1 |
Quadratic twists by: -3 |