Atkin-Lehner |
3+ 5+ 31- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
99975b |
Isogeny class |
Conductor |
99975 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
255038763427734375 = 36 · 514 · 31 · 432 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 2 0 -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-382063,87430406] |
[a1,a2,a3,a4,a6] |
Generators |
[70:7777:1] [3598:19095:8] |
Generators of the group modulo torsion |
j |
394737786635037481/16322480859375 |
j-invariant |
L |
6.7798108437416 |
L(r)(E,1)/r! |
Ω |
0.30829720144658 |
Real period |
R |
5.4977881830731 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996927 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19995i2 |
Quadratic twists by: 5 |