Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
35700bc |
Isogeny class |
Conductor |
35700 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
1423014550781250000 = 24 · 3 · 514 · 75 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 2 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-331633,45817988] |
[a1,a2,a3,a4,a6] |
Generators |
[-92116832:-2420612850:226981] |
Generators of the group modulo torsion |
j |
16134601070166016/5692058203125 |
j-invariant |
L |
6.5954907833664 |
L(r)(E,1)/r! |
Ω |
0.24743181605508 |
Real period |
R |
13.327895515864 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107100bh1 7140h1 |
Quadratic twists by: -3 5 |