Atkin-Lehner |
2- 3- 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
74700i |
Isogeny class |
Conductor |
74700 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-11027400750000 = -1 · 24 · 312 · 56 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -4 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4200,120625] |
[a1,a2,a3,a4,a6] |
Generators |
[50:675:1] |
Generators of the group modulo torsion |
j |
44957696/60507 |
j-invariant |
L |
4.4294035936297 |
L(r)(E,1)/r! |
Ω |
0.48477991718661 |
Real period |
R |
1.5228228436573 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003163 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24900o1 2988c1 |
Quadratic twists by: -3 5 |