Atkin-Lehner |
3+ 11+ 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
79101a |
Isogeny class |
Conductor |
79101 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
-11782326372389199 = -1 · 33 · 113 · 178 · 47 |
Discriminant |
Eigenvalues |
1 3+ 2 -2 11+ 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-79611,-10080848] |
[a1,a2,a3,a4,a6] |
Generators |
[4006:67477:8] [325441152528:-6944943156064:545338513] |
Generators of the group modulo torsion |
j |
-2066722911271508139/436382458236637 |
j-invariant |
L |
13.720146528149 |
L(r)(E,1)/r! |
Ω |
0.14052048619887 |
Real period |
R |
97.638051926476 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999485 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79101b1 |
Quadratic twists by: -3 |