Atkin-Lehner |
2- 3+ 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
35700o |
Isogeny class |
Conductor |
35700 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
-24984288000 = -1 · 28 · 38 · 53 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 1 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,147,-7623] |
[a1,a2,a3,a4,a6] |
Generators |
[87:810:1] |
Generators of the group modulo torsion |
j |
10903552/780759 |
j-invariant |
L |
4.5922845498669 |
L(r)(E,1)/r! |
Ω |
0.56902632799247 |
Real period |
R |
0.67253545280693 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107100cg1 35700bw1 |
Quadratic twists by: -3 5 |