Atkin-Lehner |
3+ 5+ 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
96195h |
Isogeny class |
Conductor |
96195 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
864864 |
Modular degree for the optimal curve |
Δ |
-15032164114632555 = -1 · 37 · 5 · 1110 · 53 |
Discriminant |
Eigenvalues |
-2 3+ 5+ -2 11- 4 -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,53684,-3464088] |
[a1,a2,a3,a4,a6] |
Generators |
[5043:358461:1] |
Generators of the group modulo torsion |
j |
659664896/579555 |
j-invariant |
L |
1.8525657200549 |
L(r)(E,1)/r! |
Ω |
0.21673905452927 |
Real period |
R |
8.5474476763793 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999570222 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96195g1 |
Quadratic twists by: -11 |