Atkin-Lehner |
2- 3- 7+ 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
33726q |
Isogeny class |
Conductor |
33726 |
Conductor |
∏ cp |
324 |
Product of Tamagawa factors cp |
deg |
134784 |
Modular degree for the optimal curve |
Δ |
129976969199616 = 218 · 36 · 7 · 113 · 73 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 11- 4 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-14676,407952] |
[a1,a2,a3,a4,a6] |
Generators |
[24:252:1] |
Generators of the group modulo torsion |
j |
349581684623830849/129976969199616 |
j-invariant |
L |
10.190481254824 |
L(r)(E,1)/r! |
Ω |
0.53494180084492 |
Real period |
R |
0.058795372858634 |
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 |
101178n1 |
Quadratic twists by: -3 |