Atkin-Lehner |
3- 7- 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
98049w |
Isogeny class |
Conductor |
98049 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
747803223608427 = 34 · 712 · 23 · 29 |
Discriminant |
Eigenvalues |
-1 3- 0 7- 4 6 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-171158,-27237351] |
[a1,a2,a3,a4,a6] |
Generators |
[-125688:77397:512] |
Generators of the group modulo torsion |
j |
4713323403804625/6356222523 |
j-invariant |
L |
6.3842483768284 |
L(r)(E,1)/r! |
Ω |
0.23473908705205 |
Real period |
R |
6.7993026201209 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028628 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14007b2 |
Quadratic twists by: -7 |