Atkin-Lehner |
3+ 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
31605c |
Isogeny class |
Conductor |
31605 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-92198580075 = -1 · 36 · 52 · 76 · 43 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 7- -3 -5 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,474,-14218] |
[a1,a2,a3,a4,a6] |
Generators |
[75:661:1] [21:67:1] |
Generators of the group modulo torsion |
j |
99897344/783675 |
j-invariant |
L |
3.5333131602496 |
L(r)(E,1)/r! |
Ω |
0.53189536429458 |
Real period |
R |
0.83035907939699 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94815bk1 645f1 |
Quadratic twists by: -3 -7 |