Atkin-Lehner |
7- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
24157c |
Isogeny class |
Conductor |
24157 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
255744 |
Modular degree for the optimal curve |
Δ |
-284429211004547 = -1 · 79 · 172 · 293 |
Discriminant |
Eigenvalues |
2 3 2 7- 6 2 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2989,813853] |
[a1,a2,a3,a4,a6] |
j |
-25102282752/2417608403 |
j-invariant |
L |
14.427650328367 |
L(r)(E,1)/r! |
Ω |
0.45086407276147 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3451c1 |
Quadratic twists by: -7 |