Atkin-Lehner |
2+ 3+ 5- 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
72270d |
Isogeny class |
Conductor |
72270 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
63936 |
Modular degree for the optimal curve |
Δ |
-28884512250 = -1 · 2 · 33 · 53 · 11 · 733 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 11+ 5 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-219,-8217] |
[a1,a2,a3,a4,a6] |
Generators |
[687:17649:1] |
Generators of the group modulo torsion |
j |
-43132764843/1069796750 |
j-invariant |
L |
5.0383325008654 |
L(r)(E,1)/r! |
Ω |
0.5110939912554 |
Real period |
R |
4.9289686296267 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002954 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
72270t2 |
Quadratic twists by: -3 |