Atkin-Lehner |
5- 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
45815t |
Isogeny class |
Conductor |
45815 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
46464 |
Modular degree for the optimal curve |
Δ |
60979765 = 5 · 72 · 114 · 17 |
Discriminant |
Eigenvalues |
-2 1 5- 7- 11+ 4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-5070,-140654] |
[a1,a2,a3,a4,a6] |
j |
294196273229824/1244485 |
j-invariant |
L |
1.1315416199668 |
L(r)(E,1)/r! |
Ω |
0.56577081000157 |
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 |
45815c1 |
Quadratic twists by: -7 |