Atkin-Lehner |
2- 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
11700x |
Isogeny class |
Conductor |
11700 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-76763700000000 = -1 · 28 · 310 · 58 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 -1 13- -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15375,-846250] |
[a1,a2,a3,a4,a6] |
Generators |
[175:1350:1] |
Generators of the group modulo torsion |
j |
-5513680/1053 |
j-invariant |
L |
5.1494004575137 |
L(r)(E,1)/r! |
Ω |
0.21217815845235 |
Real period |
R |
1.3482905369803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46800fl1 3900f1 11700l1 |
Quadratic twists by: -4 -3 5 |