Atkin-Lehner |
2- 5- 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
88330bm |
Isogeny class |
Conductor |
88330 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
77952 |
Modular degree for the optimal curve |
Δ |
-684027520 = -1 · 27 · 5 · 114 · 73 |
Discriminant |
Eigenvalues |
2- -2 5- 0 11- 4 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4540,-118128] |
[a1,a2,a3,a4,a6] |
Generators |
[112:828:1] |
Generators of the group modulo torsion |
j |
-706848773521/46720 |
j-invariant |
L |
7.7943336369091 |
L(r)(E,1)/r! |
Ω |
0.29080600840719 |
Real period |
R |
3.8289313204039 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000828 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88330o1 |
Quadratic twists by: -11 |