Atkin-Lehner |
2+ 3- 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
86394bj |
Isogeny class |
Conductor |
86394 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
1371591144 = 23 · 35 · 73 · 112 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 11- -6 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-718,-7240] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:17:1] |
Generators of the group modulo torsion |
j |
337630668001/11335464 |
j-invariant |
L |
6.351729564059 |
L(r)(E,1)/r! |
Ω |
0.92434689001707 |
Real period |
R |
0.45810576344417 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999968217 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86394cm1 |
Quadratic twists by: -11 |