Atkin-Lehner |
2+ 5- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
30160h |
Isogeny class |
Conductor |
30160 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15936 |
Modular degree for the optimal curve |
Δ |
-3246663680 = -1 · 211 · 5 · 13 · 293 |
Discriminant |
Eigenvalues |
2+ 1 5- 0 4 13- -7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,240,2420] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:44:1] |
Generators of the group modulo torsion |
j |
743389918/1585285 |
j-invariant |
L |
7.2601783065852 |
L(r)(E,1)/r! |
Ω |
0.98125820355914 |
Real period |
R |
1.849711492921 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15080j1 120640cb1 |
Quadratic twists by: -4 8 |