Atkin-Lehner |
3+ 5- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
15225j |
Isogeny class |
Conductor |
15225 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4352 |
Modular degree for the optimal curve |
Δ |
14387625 = 34 · 53 · 72 · 29 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7+ -2 -4 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-133,506] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:33:1] [-4:33:1] |
Generators of the group modulo torsion |
j |
2082440933/115101 |
j-invariant |
L |
3.7989365402754 |
L(r)(E,1)/r! |
Ω |
2.191337850731 |
Real period |
R |
0.86680758492093 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45675bf1 15225ba1 106575ct1 |
Quadratic twists by: -3 5 -7 |