Atkin-Lehner |
2- 7- 17- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
101626bb |
Isogeny class |
Conductor |
101626 |
Conductor |
∏ cp |
114 |
Product of Tamagawa factors cp |
deg |
601920 |
Modular degree for the optimal curve |
Δ |
-469647950872576 = -1 · 219 · 72 · 173 · 612 |
Discriminant |
Eigenvalues |
2- -2 -3 7- -2 6 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2673,1041529] |
[a1,a2,a3,a4,a6] |
Generators |
[-90:317:1] [134:1885:1] |
Generators of the group modulo torsion |
j |
43103680377023/9584652058624 |
j-invariant |
L |
10.334662782695 |
L(r)(E,1)/r! |
Ω |
0.40661216396789 |
Real period |
R |
0.22295185616911 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999198 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101626p1 |
Quadratic twists by: -7 |