Atkin-Lehner |
2- 3+ 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
74400cc |
Isogeny class |
Conductor |
74400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
192000 |
Modular degree for the optimal curve |
Δ |
-29190375000000 = -1 · 26 · 35 · 59 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -2 -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7542,60912] |
[a1,a2,a3,a4,a6] |
Generators |
[23:496:1] |
Generators of the group modulo torsion |
j |
379503424/233523 |
j-invariant |
L |
2.3834084465451 |
L(r)(E,1)/r! |
Ω |
0.40913940564888 |
Real period |
R |
2.9127094732515 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004687 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74400bp1 74400bl1 |
Quadratic twists by: -4 5 |