Atkin-Lehner |
2+ 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
73800t |
Isogeny class |
Conductor |
73800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-80700300000000000 = -1 · 211 · 39 · 511 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 -2 -4 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-225075,43312750] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:6750:1] |
Generators of the group modulo torsion |
j |
-54054018002/3459375 |
j-invariant |
L |
7.1484916776425 |
L(r)(E,1)/r! |
Ω |
0.3372211092802 |
Real period |
R |
2.649779136742 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984964 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24600ba1 14760q1 |
Quadratic twists by: -3 5 |