Atkin-Lehner |
2+ 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
17760k |
Isogeny class |
Conductor |
17760 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
6007680 |
Modular degree for the optimal curve |
Δ |
-5.8028982617092E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 5 -1 7 -7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,41681064,-51993672840] |
[a1,a2,a3,a4,a6] |
j |
15641202222032012520134968/11333785667400691734375 |
j-invariant |
L |
3.5795547141792 |
L(r)(E,1)/r! |
Ω |
0.042613746597372 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17760b1 35520ck1 53280bx1 88800br1 |
Quadratic twists by: -4 8 -3 5 |