Atkin-Lehner |
2+ 5- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
17480a |
Isogeny class |
Conductor |
17480 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-634246242800 = -1 · 24 · 52 · 194 · 233 |
Discriminant |
Eigenvalues |
2+ 1 5- -2 4 5 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4840,-136775] |
[a1,a2,a3,a4,a6] |
Generators |
[1200:41515:1] |
Generators of the group modulo torsion |
j |
-783843825346816/39640390175 |
j-invariant |
L |
6.4199379243088 |
L(r)(E,1)/r! |
Ω |
0.28534694163616 |
Real period |
R |
0.9374462259138 |
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 |
34960d1 87400h1 |
Quadratic twists by: -4 5 |