Atkin-Lehner |
2+ 3+ 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
83490h |
Isogeny class |
Conductor |
83490 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
2975960636197956000 = 25 · 38 · 53 · 118 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-165228565537,25850839762935829] |
[a1,a2,a3,a4,a6] |
Generators |
[37819515:-43072405754:27] |
Generators of the group modulo torsion |
j |
281593741710042021666079895059441/1679852196000 |
j-invariant |
L |
4.5994576135728 |
L(r)(E,1)/r! |
Ω |
0.055499453388432 |
Real period |
R |
13.812321055411 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004278 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7590r5 |
Quadratic twists by: -11 |