Atkin-Lehner |
2- 3+ 5+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
97350bt |
Isogeny class |
Conductor |
97350 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-8.3871649125E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 11- -5 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,10912662,-1268952969] |
[a1,a2,a3,a4,a6] |
Generators |
[465:62267:1] |
Generators of the group modulo torsion |
j |
9198050621709157256231/5367785544000000000 |
j-invariant |
L |
8.3617984613247 |
L(r)(E,1)/r! |
Ω |
0.063700714329291 |
Real period |
R |
1.3673640578506 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008287 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19470m2 |
Quadratic twists by: 5 |