Atkin-Lehner |
3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
53235ba |
Isogeny class |
Conductor |
53235 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-38808315 = -1 · 38 · 5 · 7 · 132 |
Discriminant |
Eigenvalues |
0 3- 5- 7+ -1 13+ 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,78,-140] |
[a1,a2,a3,a4,a6] |
Generators |
[10:40:1] |
Generators of the group modulo torsion |
j |
425984/315 |
j-invariant |
L |
5.0859121874783 |
L(r)(E,1)/r! |
Ω |
1.1472181585996 |
Real period |
R |
1.1083140877397 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998645 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17745a1 53235o1 |
Quadratic twists by: -3 13 |