Atkin-Lehner |
2- 7- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
96278m |
Isogeny class |
Conductor |
96278 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
deg |
2027520 |
Modular degree for the optimal curve |
Δ |
-8998036572904357888 = -1 · 220 · 73 · 132 · 236 |
Discriminant |
Eigenvalues |
2- 0 -2 7- -4 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,458279,-81169223] |
[a1,a2,a3,a4,a6] |
Generators |
[679:-23636:1] [259:7276:1] |
Generators of the group modulo torsion |
j |
71903073502287/60782804992 |
j-invariant |
L |
14.688986873909 |
L(r)(E,1)/r! |
Ω |
0.1276783015136 |
Real period |
R |
0.95872378076166 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000073 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
182a1 |
Quadratic twists by: -23 |