Atkin-Lehner |
2+ 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
81466v |
Isogeny class |
Conductor |
81466 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
2688444313324 = 22 · 73 · 115 · 233 |
Discriminant |
Eigenvalues |
2+ -1 1 7- 11- -1 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5082,-117128] |
[a1,a2,a3,a4,a6] |
Generators |
[726:-19844:1] [-44:176:1] |
Generators of the group modulo torsion |
j |
1193377118543/220961972 |
j-invariant |
L |
7.5464309379465 |
L(r)(E,1)/r! |
Ω |
0.57265994189284 |
Real period |
R |
0.21963095331993 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999775 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81466e1 |
Quadratic twists by: -23 |