Atkin-Lehner |
2- 3+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
74400cf |
Isogeny class |
Conductor |
74400 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-1286971200000000 = -1 · 212 · 33 · 58 · 313 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -2 0 -7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,25167,777537] |
[a1,a2,a3,a4,a6] |
Generators |
[17:1100:1] [167:-3100:1] |
Generators of the group modulo torsion |
j |
1101744320/804357 |
j-invariant |
L |
9.4595999733964 |
L(r)(E,1)/r! |
Ω |
0.30792937214418 |
Real period |
R |
0.8533342048464 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74400bk1 74400be1 |
Quadratic twists by: -4 5 |