Atkin-Lehner |
2+ 3- 37- |
Signs for the Atkin-Lehner involutions |
Class |
65712n |
Isogeny class |
Conductor |
65712 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
65646288 = 24 · 34 · 373 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 4 4 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-123,-396] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:105:8] |
Generators of the group modulo torsion |
j |
256000/81 |
j-invariant |
L |
8.6014168881653 |
L(r)(E,1)/r! |
Ω |
1.4683251611132 |
Real period |
R |
2.9289891353223 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000143 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32856l1 65712o1 |
Quadratic twists by: -4 37 |