Atkin-Lehner |
3+ 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
111573i |
Isogeny class |
Conductor |
111573 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
116736 |
Modular degree for the optimal curve |
Δ |
-1929588425919 = -1 · 33 · 710 · 11 · 23 |
Discriminant |
Eigenvalues |
1 3+ 2 7- 11- -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1626,71847] |
[a1,a2,a3,a4,a6] |
Generators |
[129222:16358229:8] |
Generators of the group modulo torsion |
j |
-149721291/607453 |
j-invariant |
L |
9.6234735883981 |
L(r)(E,1)/r! |
Ω |
0.72505881800066 |
Real period |
R |
6.6363399496764 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999884368 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111573h1 15939b1 |
Quadratic twists by: -3 -7 |