Atkin-Lehner |
7- 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
55517c |
Isogeny class |
Conductor |
55517 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
91168 |
Modular degree for the optimal curve |
Δ |
-45720636731 = -1 · 79 · 11 · 103 |
Discriminant |
Eigenvalues |
-2 1 -3 7- 11- 1 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2172,-41030] |
[a1,a2,a3,a4,a6] |
j |
-28094464/1133 |
j-invariant |
L |
0.69765854516493 |
L(r)(E,1)/r! |
Ω |
0.34882927401343 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55517b1 |
Quadratic twists by: -7 |