Atkin-Lehner |
2- 3+ 7- 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
34314r |
Isogeny class |
Conductor |
34314 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
15058973412 = 22 · 37 · 72 · 19 · 432 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- 0 -2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-665,-3229] |
[a1,a2,a3,a4,a6] |
j |
32525910642961/15058973412 |
j-invariant |
L |
1.965682549 |
L(r)(E,1)/r! |
Ω |
0.98284127450047 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102942v1 |
Quadratic twists by: -3 |