Atkin-Lehner |
2- 3- 5+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
35190bo |
Isogeny class |
Conductor |
35190 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
470400 |
Modular degree for the optimal curve |
Δ |
-24926749624687500 = -1 · 22 · 36 · 57 · 17 · 235 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -5 0 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-475763,126655967] |
[a1,a2,a3,a4,a6] |
Generators |
[31:10564:1] |
Generators of the group modulo torsion |
j |
-16336812328827892201/34193072187500 |
j-invariant |
L |
8.4547671559203 |
L(r)(E,1)/r! |
Ω |
0.37833311253306 |
Real period |
R |
2.2347415216481 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3910e1 |
Quadratic twists by: -3 |