Atkin-Lehner |
3+ 5+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
29325k |
Isogeny class |
Conductor |
29325 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
2606436699609375 = 310 · 58 · 173 · 23 |
Discriminant |
Eigenvalues |
1 3+ 5+ 2 2 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-15065900,-22514476875] |
[a1,a2,a3,a4,a6] |
Generators |
[1980146940:15054112155:438976] |
Generators of the group modulo torsion |
j |
24204101895346602333889/166811948775 |
j-invariant |
L |
6.0581474048063 |
L(r)(E,1)/r! |
Ω |
0.076630345030577 |
Real period |
R |
13.176127991222 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87975o2 5865c2 |
Quadratic twists by: -3 5 |