Atkin-Lehner |
2- 3+ 5+ 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
39270bt |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
279552 |
Modular degree for the optimal curve |
Δ |
-1349851424367600 = -1 · 24 · 314 · 52 · 73 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- 4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,119,1767719] |
[a1,a2,a3,a4,a6] |
j |
186267240431/1349851424367600 |
j-invariant |
L |
3.0578748035435 |
L(r)(E,1)/r! |
Ω |
0.38223435044352 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810bl1 |
Quadratic twists by: -3 |