Atkin-Lehner |
2+ 3- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
17346m |
Isogeny class |
Conductor |
17346 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
2998637712 = 24 · 33 · 76 · 59 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1692,26506] |
[a1,a2,a3,a4,a6] |
Generators |
[32:57:1] |
Generators of the group modulo torsion |
j |
4549540393/25488 |
j-invariant |
L |
4.3428093095939 |
L(r)(E,1)/r! |
Ω |
1.4327042437825 |
Real period |
R |
0.50519955862495 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52038bq1 354d1 |
Quadratic twists by: -3 -7 |