Atkin-Lehner |
2+ 5+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
3910a |
Isogeny class |
Conductor |
3910 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1040 |
Modular degree for the optimal curve |
Δ |
-56206250 = -1 · 2 · 55 · 17 · 232 |
Discriminant |
Eigenvalues |
2+ 1 5+ -2 2 1 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-139,712] |
[a1,a2,a3,a4,a6] |
Generators |
[8:7:1] |
Generators of the group modulo torsion |
j |
-293946977449/56206250 |
j-invariant |
L |
2.7895354137961 |
L(r)(E,1)/r! |
Ω |
1.9049101487556 |
Real period |
R |
0.73219606069567 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31280m1 125120x1 35190bt1 19550bh1 |
Quadratic twists by: -4 8 -3 5 |