Atkin-Lehner |
2+ 5- 37+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
15170d |
Isogeny class |
Conductor |
15170 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
706560 |
Modular degree for the optimal curve |
Δ |
8685326940894440000 = 26 · 54 · 374 · 415 |
Discriminant |
Eigenvalues |
2+ 2 5- -4 -2 0 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2504937,1518315461] |
[a1,a2,a3,a4,a6] |
j |
1738258677522861867711001/8685326940894440000 |
j-invariant |
L |
0.93256421447304 |
L(r)(E,1)/r! |
Ω |
0.23314105361826 |
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 |
121360z1 75850o1 |
Quadratic twists by: -4 5 |