Atkin-Lehner |
2- 3+ 5+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
97350bw |
Isogeny class |
Conductor |
97350 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
19435927500000000 = 28 · 32 · 510 · 114 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-11328000063,464059385375781] |
[a1,a2,a3,a4,a6] |
Generators |
[21076825:-10579834:343] |
Generators of the group modulo torsion |
j |
10288768945476284932223510251561/1243899360000 |
j-invariant |
L |
6.6891128509316 |
L(r)(E,1)/r! |
Ω |
0.1014524645201 |
Real period |
R |
1.0302104426252 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999920718 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19470q3 |
Quadratic twists by: 5 |