Atkin-Lehner |
2- 3+ 7- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
73458v |
Isogeny class |
Conductor |
73458 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
55040 |
Modular degree for the optimal curve |
Δ |
-115539443712 = -1 · 220 · 33 · 7 · 11 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11- -1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1195,3501] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:48:1] |
Generators of the group modulo torsion |
j |
6995267578125/4279238656 |
j-invariant |
L |
11.080502673847 |
L(r)(E,1)/r! |
Ω |
0.64770155878355 |
Real period |
R |
0.42768550283812 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995956 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73458c1 |
Quadratic twists by: -3 |