Atkin-Lehner |
2+ 3+ 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
15450f |
Isogeny class |
Conductor |
15450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-2414062500 = -1 · 22 · 3 · 59 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 5 4 0 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-25,-2375] |
[a1,a2,a3,a4,a6] |
Generators |
[20:65:1] |
Generators of the group modulo torsion |
j |
-117649/154500 |
j-invariant |
L |
3.772996729529 |
L(r)(E,1)/r! |
Ω |
0.65560382993062 |
Real period |
R |
1.4387487371483 |
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 |
123600co1 46350bx1 3090l1 |
Quadratic twists by: -4 -3 5 |