Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
11700k |
Isogeny class |
Conductor |
11700 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-23692500000000 = -1 · 28 · 36 · 510 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -3 13+ -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5625,168750] |
[a1,a2,a3,a4,a6] |
Generators |
[714:19188:1] |
Generators of the group modulo torsion |
j |
10800/13 |
j-invariant |
L |
4.99108361968 |
L(r)(E,1)/r! |
Ω |
0.45120883454251 |
Real period |
R |
5.530791107781 |
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 |
46800di1 1300a1 11700z1 |
Quadratic twists by: -4 -3 5 |