Atkin-Lehner |
3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
33327r |
Isogeny class |
Conductor |
33327 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1267200 |
Modular degree for the optimal curve |
Δ |
-2233481533641302427 = -1 · 311 · 7 · 239 |
Discriminant |
Eigenvalues |
-2 3- 4 7- -5 -2 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-458643,-139509864] |
[a1,a2,a3,a4,a6] |
j |
-98867482624/20696067 |
j-invariant |
L |
1.4513496580625 |
L(r)(E,1)/r! |
Ω |
0.09070935362922 |
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 |
11109k1 1449c1 |
Quadratic twists by: -3 -23 |