Atkin-Lehner |
2- 7- |
Signs for the Atkin-Lehner involutions |
Class |
784h |
Isogeny class |
Conductor |
784 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
64 |
Modular degree for the optimal curve |
Δ |
-1404928 = -1 · 212 · 73 |
Discriminant |
Eigenvalues |
2- 0 0 7- -4 0 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35,98] |
[a1,a2,a3,a4,a6] |
Generators |
[1:8:1] |
Generators of the group modulo torsion |
j |
-3375 |
j-invariant |
L |
2.2075638092815 |
L(r)(E,1)/r! |
Ω |
2.5575309899161 |
Real period |
R |
0.43158104789064 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49a1 3136r1 7056bq1 19600cb1 |
Quadratic twists by: -4 8 -3 5 |