Atkin-Lehner |
2- 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
44352da |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1028137549824 = -1 · 217 · 33 · 74 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 11- -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1644,55120] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:245:1] |
Generators of the group modulo torsion |
j |
-138853062/290521 |
j-invariant |
L |
6.7087800334352 |
L(r)(E,1)/r! |
Ω |
0.77905809196774 |
Real period |
R |
2.1528497369471 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999972 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44352i2 11088c2 44352cw2 |
Quadratic twists by: -4 8 -3 |