Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
122400cu |
Isogeny class |
Conductor |
122400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2580480 |
Modular degree for the optimal curve |
Δ |
-1.6496519813437E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 -4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33825,-617956000] |
[a1,a2,a3,a4,a6] |
Generators |
[780539345:18676867500:704969] |
Generators of the group modulo torsion |
j |
-5870966464/226289709375 |
j-invariant |
L |
7.5254366529891 |
L(r)(E,1)/r! |
Ω |
0.082818136509263 |
Real period |
R |
11.358376607953 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999700487 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122400cz1 40800g1 24480k1 |
Quadratic twists by: -4 -3 5 |