Atkin-Lehner |
2- 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
69696gd |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-232072225178517504 = -1 · 228 · 310 · 114 |
Discriminant |
Eigenvalues |
2- 3- -1 4 11- -3 1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,103092,19361936] |
[a1,a2,a3,a4,a6] |
j |
43307231/82944 |
j-invariant |
L |
0.86458890037475 |
L(r)(E,1)/r! |
Ω |
0.21614722825275 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69696cb1 17424bp1 23232cx1 69696gf1 |
Quadratic twists by: -4 8 -3 -11 |