Atkin-Lehner |
3+ 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
87285d |
Isogeny class |
Conductor |
87285 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8408064 |
Modular degree for the optimal curve |
Δ |
-7149504380174539515 = -1 · 38 · 5 · 112 · 239 |
Discriminant |
Eigenvalues |
0 3+ 5+ 3 11- 2 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-99655841,-382881692059] |
[a1,a2,a3,a4,a6] |
Generators |
[7955901623531408027:2238365517212562716668:98886727110907] |
Generators of the group modulo torsion |
j |
-60768912987127808/3969405 |
j-invariant |
L |
4.959402365713 |
L(r)(E,1)/r! |
Ω |
0.023891524757594 |
Real period |
R |
25.94749820298 |
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 |
87285j1 |
Quadratic twists by: -23 |