Atkin-Lehner |
2- 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
69828bc |
Isogeny class |
Conductor |
69828 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
-16179730524144 = -1 · 24 · 33 · 11 · 237 |
Discriminant |
Eigenvalues |
2- 3- -1 1 11- -6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5466,-250119] |
[a1,a2,a3,a4,a6] |
Generators |
[153:1587:1] |
Generators of the group modulo torsion |
j |
-7626496/6831 |
j-invariant |
L |
6.9093338882831 |
L(r)(E,1)/r! |
Ω |
0.26765067573368 |
Real period |
R |
1.4341524887588 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989831 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3036f1 |
Quadratic twists by: -23 |