Atkin-Lehner |
2- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
17360t |
Isogeny class |
Conductor |
17360 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-1352863467120865280 = -1 · 212 · 5 · 74 · 317 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ -4 -2 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,205739,-42980899] |
[a1,a2,a3,a4,a6] |
Generators |
[188:1519:1] |
Generators of the group modulo torsion |
j |
235131885842333696/330288932402555 |
j-invariant |
L |
2.8841700866269 |
L(r)(E,1)/r! |
Ω |
0.14390132625989 |
Real period |
R |
1.4316209196899 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1085b1 69440dh1 86800ca1 121520cj1 |
Quadratic twists by: -4 8 5 -7 |