Atkin-Lehner |
2+ 3- 5- 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
97350bg |
Isogeny class |
Conductor |
97350 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
767232 |
Modular degree for the optimal curve |
Δ |
-18969786495000 = -1 · 23 · 312 · 54 · 112 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 11+ 2 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-385051,91933598] |
[a1,a2,a3,a4,a6] |
Generators |
[358:-196:1] |
Generators of the group modulo torsion |
j |
-10101755209913776825/30351658392 |
j-invariant |
L |
6.039010832201 |
L(r)(E,1)/r! |
Ω |
0.59856094159818 |
Real period |
R |
1.2611520451256 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999787554 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
97350bl1 |
Quadratic twists by: 5 |