Atkin-Lehner |
2- 5+ 37- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
121360s |
Isogeny class |
Conductor |
121360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1439775595864064000 = 216 · 53 · 37 · 416 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 0 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1471856,685361600] |
[a1,a2,a3,a4,a6] |
Generators |
[4940421720:1279039744:7414875] |
Generators of the group modulo torsion |
j |
86091450891473665009/351507713834000 |
j-invariant |
L |
7.7928242664618 |
L(r)(E,1)/r! |
Ω |
0.27069441259032 |
Real period |
R |
14.394135711327 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000056739 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15170l3 |
Quadratic twists by: -4 |