Atkin-Lehner |
2- 3+ 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
74400bz |
Isogeny class |
Conductor |
74400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-148800000000 = -1 · 212 · 3 · 58 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 4 -4 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-833,-20463] |
[a1,a2,a3,a4,a6] |
Generators |
[8495:60232:125] |
Generators of the group modulo torsion |
j |
-40000/93 |
j-invariant |
L |
5.8110887182187 |
L(r)(E,1)/r! |
Ω |
0.41504053066371 |
Real period |
R |
7.0006279992983 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999975953 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74400db1 74400z1 |
Quadratic twists by: -4 5 |