Atkin-Lehner |
2+ 7+ 17- 61- |
Signs for the Atkin-Lehner involutions |
Class |
101626a |
Isogeny class |
Conductor |
101626 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
288960 |
Modular degree for the optimal curve |
Δ |
-11669248539424 = -1 · 25 · 78 · 17 · 612 |
Discriminant |
Eigenvalues |
2+ 0 -1 7+ -4 0 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-43325,-3464091] |
[a1,a2,a3,a4,a6] |
Generators |
[75956:2534563:64] |
Generators of the group modulo torsion |
j |
-1560129844329/2024224 |
j-invariant |
L |
3.2916364828999 |
L(r)(E,1)/r! |
Ω |
0.16544386411641 |
Real period |
R |
9.9478953625303 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999565397 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101626d1 |
Quadratic twists by: -7 |