Atkin-Lehner |
2- 3- 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
23856w |
Isogeny class |
Conductor |
23856 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-116396747808768 = -1 · 213 · 35 · 77 · 71 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -2 4 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-137688,-19717740] |
[a1,a2,a3,a4,a6] |
Generators |
[492:5646:1] |
Generators of the group modulo torsion |
j |
-70478263190049625/28417174758 |
j-invariant |
L |
6.1815359304237 |
L(r)(E,1)/r! |
Ω |
0.12391810669898 |
Real period |
R |
4.9884041122736 |
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 |
2982a1 95424bh1 71568bp1 |
Quadratic twists by: -4 8 -3 |