Atkin-Lehner |
2- 3+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
35568v |
Isogeny class |
Conductor |
35568 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
66272218841088 = 220 · 39 · 132 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 -6 13+ -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26595,1622754] |
[a1,a2,a3,a4,a6] |
Generators |
[-162:1296:1] [-47:1664:1] |
Generators of the group modulo torsion |
j |
25803133875/822016 |
j-invariant |
L |
8.4883408005841 |
L(r)(E,1)/r! |
Ω |
0.61584222331155 |
Real period |
R |
3.4458260895707 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4446b1 35568u1 |
Quadratic twists by: -4 -3 |