Atkin-Lehner |
2- 3+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
74400bv |
Isogeny class |
Conductor |
74400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
-1897882099200 = -1 · 29 · 314 · 52 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -5 -1 1 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,992,64852] |
[a1,a2,a3,a4,a6] |
Generators |
[74:2187:8] [36:382:1] |
Generators of the group modulo torsion |
j |
8425795000/148272039 |
j-invariant |
L |
7.8422385568191 |
L(r)(E,1)/r! |
Ω |
0.62025310212161 |
Real period |
R |
3.1609025936595 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999145 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74400ct1 74400bm1 |
Quadratic twists by: -4 5 |