Atkin-Lehner |
2- 3+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
101568cq |
Isogeny class |
Conductor |
101568 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
7772160 |
Modular degree for the optimal curve |
Δ |
-1.6493186621304E+20 |
Discriminant |
Eigenvalues |
2- 3+ -2 -1 -6 7 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19402309,-32894210915] |
[a1,a2,a3,a4,a6] |
Generators |
[272220397223914039073264991890056829425373035058315667964703844:5236766944329185260640262930976161206453362634818612051518948143:51804896560059800537024112797238653803511581931668052462613] |
Generators of the group modulo torsion |
j |
-1190106112/243 |
j-invariant |
L |
3.5639952369998 |
L(r)(E,1)/r! |
Ω |
0.035966724067922 |
Real period |
R |
99.091461047977 |
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 |
101568bi1 25392j1 101568ch1 |
Quadratic twists by: -4 8 -23 |