Atkin-Lehner |
2+ 3- 7- 13- 73- |
Signs for the Atkin-Lehner involutions |
Class |
39858j |
Isogeny class |
Conductor |
39858 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
-2767804249392 = -1 · 24 · 312 · 73 · 13 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 3 13- -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1404,77554] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:219:1] |
Generators of the group modulo torsion |
j |
306386493698375/2767804249392 |
j-invariant |
L |
5.6713578345052 |
L(r)(E,1)/r! |
Ω |
0.59111747536478 |
Real period |
R |
1.1992873817094 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
119574bk1 |
Quadratic twists by: -3 |