Atkin-Lehner |
2- 3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
35700y |
Isogeny class |
Conductor |
35700 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
734706000 = 24 · 32 · 53 · 74 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-273,1242] |
[a1,a2,a3,a4,a6] |
Generators |
[17:35:1] |
Generators of the group modulo torsion |
j |
1129201664/367353 |
j-invariant |
L |
5.079859522021 |
L(r)(E,1)/r! |
Ω |
1.4787059369342 |
Real period |
R |
0.28627843864124 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107100cl1 35700bo1 |
Quadratic twists by: -3 5 |