Atkin-Lehner |
2- 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
19110cf |
Isogeny class |
Conductor |
19110 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-229320000 = -1 · 26 · 32 · 54 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -3 13- -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-715,7097] |
[a1,a2,a3,a4,a6] |
Generators |
[17:-24:1] |
Generators of the group modulo torsion |
j |
-825056556289/4680000 |
j-invariant |
L |
6.8000974878626 |
L(r)(E,1)/r! |
Ω |
1.7750375797273 |
Real period |
R |
0.079811661049773 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57330bn1 95550dw1 19110ck1 |
Quadratic twists by: -3 5 -7 |