Atkin-Lehner |
2- 3- 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
29694n |
Isogeny class |
Conductor |
29694 |
Conductor |
∏ cp |
468 |
Product of Tamagawa factors cp |
deg |
539136 |
Modular degree for the optimal curve |
Δ |
-822172244142219264 = -1 · 213 · 39 · 72 · 1014 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 1 -4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-251189,-65221983] |
[a1,a2,a3,a4,a6] |
Generators |
[4114:-263849:1] |
Generators of the group modulo torsion |
j |
-35770877258965033633/16779025390657536 |
j-invariant |
L |
12.291298978311 |
L(r)(E,1)/r! |
Ω |
0.10428047922888 |
Real period |
R |
0.25185403394359 |
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 |
89082q1 29694h1 |
Quadratic twists by: -3 -7 |