Atkin-Lehner |
2- 3- 7- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
28182y |
Isogeny class |
Conductor |
28182 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-38717771710464 = -1 · 215 · 33 · 72 · 114 · 61 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 11- -4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2359,-295911] |
[a1,a2,a3,a4,a6] |
Generators |
[70:-497:1] |
Generators of the group modulo torsion |
j |
1451764018705391/38717771710464 |
j-invariant |
L |
9.7022656702998 |
L(r)(E,1)/r! |
Ω |
0.31309350179224 |
Real period |
R |
0.086078880011183 |
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 |
84546v1 |
Quadratic twists by: -3 |