Atkin-Lehner |
37+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
72557a |
Isogeny class |
Conductor |
72557 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
102168 |
Modular degree for the optimal curve |
Δ |
-135983499677 = -1 · 376 · 53 |
Discriminant |
Eigenvalues |
1 -3 0 -4 0 3 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,428,17305] |
[a1,a2,a3,a4,a6] |
Generators |
[32:235:1] |
Generators of the group modulo torsion |
j |
3375/53 |
j-invariant |
L |
3.1106520475094 |
L(r)(E,1)/r! |
Ω |
0.77064344128671 |
Real period |
R |
4.0364348562184 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980183 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53a1 |
Quadratic twists by: 37 |