Atkin-Lehner |
2- 5+ 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
73810j |
Isogeny class |
Conductor |
73810 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
17979351143875000 = 23 · 56 · 119 · 61 |
Discriminant |
Eigenvalues |
2- 1 5+ -2 11- 7 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-503786,137438060] |
[a1,a2,a3,a4,a6] |
Generators |
[398:-74:1] |
Generators of the group modulo torsion |
j |
7981893677157049/10148875000 |
j-invariant |
L |
10.376243749575 |
L(r)(E,1)/r! |
Ω |
0.38717848103381 |
Real period |
R |
2.2333032992534 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000446 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6710d2 |
Quadratic twists by: -11 |