Atkin-Lehner |
2- 3- 5+ 13- 83- |
Signs for the Atkin-Lehner involutions |
Class |
97110ci |
Isogeny class |
Conductor |
97110 |
Conductor |
∏ cp |
324 |
Product of Tamagawa factors cp |
Δ |
-1200333117759160320 = -1 · 218 · 36 · 5 · 133 · 833 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -6 13- -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-521528,-154121029] |
[a1,a2,a3,a4,a6] |
Generators |
[1053:21001:1] |
Generators of the group modulo torsion |
j |
-21519307577079107641/1646547486638080 |
j-invariant |
L |
7.4234463764613 |
L(r)(E,1)/r! |
Ω |
0.088439546822834 |
Real period |
R |
2.331613529725 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999930035 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
10790d2 |
Quadratic twists by: -3 |