Atkin-Lehner |
2+ 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
11840o |
Isogeny class |
Conductor |
11840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
35887513600 = 220 · 52 · 372 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1612,-23184] |
[a1,a2,a3,a4,a6] |
Generators |
[-2655:4797:125] |
Generators of the group modulo torsion |
j |
1767172329/136900 |
j-invariant |
L |
4.9018169824488 |
L(r)(E,1)/r! |
Ω |
0.7571534989145 |
Real period |
R |
6.4740069080792 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11840bk2 370a2 106560bs2 59200a2 |
Quadratic twists by: -4 8 -3 5 |