Atkin-Lehner |
2+ 17- 61- |
Signs for the Atkin-Lehner involutions |
Class |
2074a |
Isogeny class |
Conductor |
2074 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
944 |
Modular degree for the optimal curve |
Δ |
1012112 = 24 · 17 · 612 |
Discriminant |
Eigenvalues |
2+ -2 -2 2 -2 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1317,-18496] |
[a1,a2,a3,a4,a6] |
Generators |
[79:570:1] |
Generators of the group modulo torsion |
j |
252352098250057/1012112 |
j-invariant |
L |
1.4717439557397 |
L(r)(E,1)/r! |
Ω |
0.79257929931138 |
Real period |
R |
1.856904358994 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16592c1 66368c1 18666g1 51850q1 |
Quadratic twists by: -4 8 -3 5 |