Atkin-Lehner |
2+ 3- 5- 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
39270bm |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
168960 |
Modular degree for the optimal curve |
Δ |
-42557933214720 = -1 · 210 · 32 · 5 · 74 · 113 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11- 6 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7638,404968] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:837:1] |
Generators of the group modulo torsion |
j |
-49269815483779801/42557933214720 |
j-invariant |
L |
5.9966421405845 |
L(r)(E,1)/r! |
Ω |
0.58786735883477 |
Real period |
R |
0.85005600476358 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810cz1 |
Quadratic twists by: -3 |