Atkin-Lehner |
3+ 5+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
75075w |
Isogeny class |
Conductor |
75075 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1561325390625 = 3 · 58 · 7 · 114 · 13 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 11- 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-910063,-334539844] |
[a1,a2,a3,a4,a6] |
j |
5334799347737957161/99924825 |
j-invariant |
L |
1.2365784747349 |
L(r)(E,1)/r! |
Ω |
0.15457230678041 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15015v3 |
Quadratic twists by: 5 |