Atkin-Lehner |
3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
29925bd |
Isogeny class |
Conductor |
29925 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
113621484375 = 37 · 58 · 7 · 19 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- -4 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11970005,-15937054378] |
[a1,a2,a3,a4,a6] |
Generators |
[107895:-35476049:1] |
Generators of the group modulo torsion |
j |
16651720753282540801/9975 |
j-invariant |
L |
3.4117925577807 |
L(r)(E,1)/r! |
Ω |
0.081166342169916 |
Real period |
R |
10.508643319907 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9975o4 5985h3 |
Quadratic twists by: -3 5 |