Atkin-Lehner |
2+ 3+ 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
15150g |
Isogeny class |
Conductor |
15150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-1570752000000000 = -1 · 215 · 35 · 59 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 -2 3 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-27750,2596500] |
[a1,a2,a3,a4,a6] |
j |
-151257563987041/100528128000 |
j-invariant |
L |
1.7560545170475 |
L(r)(E,1)/r! |
Ω |
0.43901362926187 |
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 |
121200dp1 45450bz1 3030u1 |
Quadratic twists by: -4 -3 5 |