Atkin-Lehner |
2+ 3+ 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
15150b |
Isogeny class |
Conductor |
15150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-12073839843750 = -1 · 2 · 3 · 59 · 1013 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 -6 1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,3475,148875] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:365:1] |
Generators of the group modulo torsion |
j |
296874449711/772725750 |
j-invariant |
L |
2.8306960504608 |
L(r)(E,1)/r! |
Ω |
0.49953488536704 |
Real period |
R |
2.8333316985268 |
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 |
121200cz2 45450cc2 3030s2 |
Quadratic twists by: -4 -3 5 |