Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
35700bb |
Isogeny class |
Conductor |
35700 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
103318031250000 = 24 · 34 · 59 · 74 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 2 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14033,-417312] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:375:1] |
Generators of the group modulo torsion |
j |
1222548865024/413272125 |
j-invariant |
L |
6.424604642581 |
L(r)(E,1)/r! |
Ω |
0.45062969127183 |
Real period |
R |
0.59403955241394 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107100be1 7140d1 |
Quadratic twists by: -3 5 |