Atkin-Lehner |
5+ 7- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
120785c |
Isogeny class |
Conductor |
120785 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
702464 |
Modular degree for the optimal curve |
Δ |
-132110773541796875 = -1 · 58 · 79 · 172 · 29 |
Discriminant |
Eigenvalues |
0 1 5+ 7- -2 4 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,7089,-17483609] |
[a1,a2,a3,a4,a6] |
j |
976191488/3273828125 |
j-invariant |
L |
1.2189711331011 |
L(r)(E,1)/r! |
Ω |
0.15237140711899 |
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 |
120785j1 |
Quadratic twists by: -7 |