Atkin-Lehner |
2- 7+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
33418u |
Isogeny class |
Conductor |
33418 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
-32204855004742112 = -1 · 25 · 74 · 114 · 315 |
Discriminant |
Eigenvalues |
2- 1 0 7+ 11+ -5 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,74822,3540676] |
[a1,a2,a3,a4,a6] |
j |
19293860208221375/13413100793312 |
j-invariant |
L |
2.3377694494249 |
L(r)(E,1)/r! |
Ω |
0.23377694494246 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33418bf1 |
Quadratic twists by: -7 |