Atkin-Lehner |
2- 3- 5+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
97350cv |
Isogeny class |
Conductor |
97350 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
Δ |
-251823915721125000 = -1 · 23 · 314 · 56 · 112 · 592 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,61862,-23401108] |
[a1,a2,a3,a4,a6] |
Generators |
[398:-8218:1] |
Generators of the group modulo torsion |
j |
1675618386734375/16116730606152 |
j-invariant |
L |
12.789761137215 |
L(r)(E,1)/r! |
Ω |
0.15387828878964 |
Real period |
R |
0.98947721779478 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005697 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3894b2 |
Quadratic twists by: 5 |