Atkin-Lehner |
2- 3- 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
23856x |
Isogeny class |
Conductor |
23856 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-95738004504576 = -1 · 222 · 38 · 72 · 71 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 6 4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12664,-727084] |
[a1,a2,a3,a4,a6] |
Generators |
[188:1890:1] |
Generators of the group modulo torsion |
j |
-54841681585657/23373536256 |
j-invariant |
L |
6.4357560563195 |
L(r)(E,1)/r! |
Ω |
0.22043711522765 |
Real period |
R |
1.8247142869048 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2982b1 95424bj1 71568br1 |
Quadratic twists by: -4 8 -3 |