Atkin-Lehner |
2- 3- 7+ 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
73458bb |
Isogeny class |
Conductor |
73458 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-501160173473304576 = -1 · 212 · 36 · 7 · 115 · 533 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 11- -1 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,190573,-11654477] |
[a1,a2,a3,a4,a6] |
Generators |
[1453:56990:1] |
Generators of the group modulo torsion |
j |
1049983398329064471/687462515052544 |
j-invariant |
L |
10.330214605603 |
L(r)(E,1)/r! |
Ω |
0.16784038423657 |
Real period |
R |
0.17096624688904 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000062 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8162a1 |
Quadratic twists by: -3 |