Atkin-Lehner |
2+ 3- 7+ 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
84546q |
Isogeny class |
Conductor |
84546 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
1552320 |
Modular degree for the optimal curve |
Δ |
1358789611288032 = 25 · 36 · 72 · 117 · 61 |
Discriminant |
Eigenvalues |
2+ 3- -4 7+ 11- 3 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-694734,223049204] |
[a1,a2,a3,a4,a6] |
Generators |
[353:4482:1] |
Generators of the group modulo torsion |
j |
50868882401831553249/1863908931808 |
j-invariant |
L |
3.7695574199257 |
L(r)(E,1)/r! |
Ω |
0.45063192728574 |
Real period |
R |
0.59750338363125 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003631 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9394g1 |
Quadratic twists by: -3 |