Atkin-Lehner |
2- 3- 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
102306r |
Isogeny class |
Conductor |
102306 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
6082560 |
Modular degree for the optimal curve |
Δ |
3036417745650549732 = 22 · 312 · 177 · 592 |
Discriminant |
Eigenvalues |
2- 3- 0 2 2 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-54406568,-154467740580] |
[a1,a2,a3,a4,a6] |
Generators |
[1100180:26978894:125] |
Generators of the group modulo torsion |
j |
737877347611020366625/125796336228 |
j-invariant |
L |
14.95243497491 |
L(r)(E,1)/r! |
Ω |
0.055588726694186 |
Real period |
R |
5.603817188277 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999953125 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6018h1 |
Quadratic twists by: 17 |