Atkin-Lehner |
2- 7+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
33488v |
Isogeny class |
Conductor |
33488 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-335312397056 = -1 · 28 · 72 · 133 · 233 |
Discriminant |
Eigenvalues |
2- -1 -3 7+ -3 13- -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15477,746809] |
[a1,a2,a3,a4,a6] |
Generators |
[714:-2093:8] [73:26:1] |
Generators of the group modulo torsion |
j |
-1601666731737088/1309814051 |
j-invariant |
L |
5.7115394494859 |
L(r)(E,1)/r! |
Ω |
0.95485636912548 |
Real period |
R |
0.16615470004371 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8372d2 |
Quadratic twists by: -4 |