Atkin-Lehner |
2+ 17- 71- |
Signs for the Atkin-Lehner involutions |
Class |
77248j |
Isogeny class |
Conductor |
77248 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2571264 |
Modular degree for the optimal curve |
Δ |
26592754943393792 = 230 · 173 · 712 |
Discriminant |
Eigenvalues |
2+ 0 -2 0 0 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33023276,73042956336] |
[a1,a2,a3,a4,a6] |
Generators |
[4376:111044:1] |
Generators of the group modulo torsion |
j |
15193025018461003992993/101443309568 |
j-invariant |
L |
4.2975021625194 |
L(r)(E,1)/r! |
Ω |
0.25792546566104 |
Real period |
R |
2.7769664325412 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002536 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77248u1 2414f1 |
Quadratic twists by: -4 8 |