Atkin-Lehner |
3+ 5- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
31605h |
Isogeny class |
Conductor |
31605 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6.2453227355605E+19 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- -4 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4710542,3914713671] |
[a1,a2,a3,a4,a6] |
Generators |
[-2150586:437571613:5832] |
Generators of the group modulo torsion |
j |
98253551457664019929/530843673602025 |
j-invariant |
L |
5.0183895196345 |
L(r)(E,1)/r! |
Ω |
0.19781500807939 |
Real period |
R |
12.68455201746 |
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 |
94815m2 4515f2 |
Quadratic twists by: -3 -7 |