Atkin-Lehner |
5+ 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
97405d |
Isogeny class |
Conductor |
97405 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-4251102570443575 = -1 · 52 · 73 · 116 · 234 |
Discriminant |
Eigenvalues |
1 0 5+ 7- 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,280,-3137029] |
[a1,a2,a3,a4,a6] |
Generators |
[238:-3339:1] [190:1841:1] |
Generators of the group modulo torsion |
j |
1367631/2399636575 |
j-invariant |
L |
12.510950398774 |
L(r)(E,1)/r! |
Ω |
0.20099925673067 |
Real period |
R |
2.5934901872944 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999993183 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
805c1 |
Quadratic twists by: -11 |