Atkin-Lehner |
3+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
15225d |
Isogeny class |
Conductor |
15225 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
144875390625 = 32 · 58 · 72 · 292 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3650,81375] |
[a1,a2,a3,a4,a6] |
Generators |
[46:93:1] |
Generators of the group modulo torsion |
j |
344324701729/9272025 |
j-invariant |
L |
4.1481024840425 |
L(r)(E,1)/r! |
Ω |
1.0282884268055 |
Real period |
R |
2.0169936643792 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
45675u2 3045g2 106575cc2 |
Quadratic twists by: -3 5 -7 |