Atkin-Lehner |
2+ 3- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
2982d |
Isogeny class |
Conductor |
2982 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1960757442 = 2 · 34 · 74 · 712 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 2 -4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-792,8236] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:108:1] |
Generators of the group modulo torsion |
j |
54841681585657/1960757442 |
j-invariant |
L |
2.5890438986632 |
L(r)(E,1)/r! |
Ω |
1.4660655726691 |
Real period |
R |
0.44149524191296 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23856t2 95424i2 8946r2 74550ck2 |
Quadratic twists by: -4 8 -3 5 |