Atkin-Lehner |
3- 5- 7- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
94185bh |
Isogeny class |
Conductor |
94185 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
218112 |
Modular degree for the optimal curve |
Δ |
953623125 = 36 · 54 · 7 · 13 · 23 |
Discriminant |
Eigenvalues |
-2 3- 5- 7- 5 13- -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-24267,1455030] |
[a1,a2,a3,a4,a6] |
Generators |
[83:112:1] |
Generators of the group modulo torsion |
j |
2167926001537024/1308125 |
j-invariant |
L |
4.3710268119483 |
L(r)(E,1)/r! |
Ω |
1.2923608441829 |
Real period |
R |
0.42277538215461 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031342 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10465c1 |
Quadratic twists by: -3 |