Atkin-Lehner |
2+ 3- 7+ 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
37758h |
Isogeny class |
Conductor |
37758 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
73415351491776 = 26 · 312 · 74 · 29 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ -6 4 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-12674,361748] |
[a1,a2,a3,a4,a6] |
Generators |
[1317:46969:1] [-51:961:1] |
Generators of the group modulo torsion |
j |
225120767835195289/73415351491776 |
j-invariant |
L |
7.1994859733734 |
L(r)(E,1)/r! |
Ω |
0.56646159510317 |
Real period |
R |
0.26478280682848 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113274bj1 |
Quadratic twists by: -3 |