Atkin-Lehner |
2+ 3+ 5- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
15510b |
Isogeny class |
Conductor |
15510 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
-571760640000 = -1 · 216 · 33 · 54 · 11 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 11+ 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1842,-48204] |
[a1,a2,a3,a4,a6] |
j |
-691768740750121/571760640000 |
j-invariant |
L |
0.70399805010257 |
L(r)(E,1)/r! |
Ω |
0.35199902505129 |
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 |
124080cl1 46530y1 77550bx1 |
Quadratic twists by: -4 -3 5 |