Atkin-Lehner |
3- 7- 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
117453q |
Isogeny class |
Conductor |
117453 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
20751360 |
Modular degree for the optimal curve |
Δ |
-1.7235602940907E+21 |
Discriminant |
Eigenvalues |
0 3- -1 7- -4 -3 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-383399291,2889388682219] |
[a1,a2,a3,a4,a6] |
Generators |
[11293:2278:1] |
Generators of the group modulo torsion |
j |
-52977247405040016395370496/14650020774428571 |
j-invariant |
L |
4.3227085430182 |
L(r)(E,1)/r! |
Ω |
0.11950910200579 |
Real period |
R |
3.6170537622409 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000168176 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16779e1 |
Quadratic twists by: -7 |