Atkin-Lehner |
2- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
109520x |
Isogeny class |
Conductor |
109520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-359677896081510400 = -1 · 212 · 52 · 378 |
Discriminant |
Eigenvalues |
2- 2 5- 2 0 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,32400,28756352] |
[a1,a2,a3,a4,a6] |
Generators |
[49309227786:2436070431430:20346417] |
Generators of the group modulo torsion |
j |
357911/34225 |
j-invariant |
L |
12.034233817172 |
L(r)(E,1)/r! |
Ω |
0.23172008570813 |
Real period |
R |
12.98358944356 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999854822 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6845c2 2960g2 |
Quadratic twists by: -4 37 |