Atkin-Lehner |
2+ 3+ 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
75840d |
Isogeny class |
Conductor |
75840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-217790605618053120 = -1 · 219 · 33 · 5 · 795 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -2 1 8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-296648321,-1966478120319] |
[a1,a2,a3,a4,a6] |
Generators |
[32389059311500859644286868859923:6426487072099017738545186131048864:694523502346811414952492531] |
Generators of the group modulo torsion |
j |
-11013097281880624350095521/830805227730 |
j-invariant |
L |
3.6301023968682 |
L(r)(E,1)/r! |
Ω |
0.0181890109848 |
Real period |
R |
49.894169615679 |
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 |
75840ci2 2370m2 |
Quadratic twists by: -4 8 |