Atkin-Lehner |
2- 3- 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
73800cs |
Isogeny class |
Conductor |
73800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
286720 |
Modular degree for the optimal curve |
Δ |
3101917781250000 = 24 · 310 · 59 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-45750,-2646875] |
[a1,a2,a3,a4,a6] |
Generators |
[-126:1057:1] |
Generators of the group modulo torsion |
j |
464857088/136161 |
j-invariant |
L |
6.6199721804498 |
L(r)(E,1)/r! |
Ω |
0.33377414448385 |
Real period |
R |
4.9584219521556 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000252 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24600s1 73800bi1 |
Quadratic twists by: -3 5 |