Atkin-Lehner |
2- 3- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
62700bh |
Isogeny class |
Conductor |
62700 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
39804311250000 = 24 · 36 · 57 · 112 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11- -2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-28633,1830488] |
[a1,a2,a3,a4,a6] |
Generators |
[143:825:1] [-157:1575:1] |
Generators of the group modulo torsion |
j |
10384830939136/159217245 |
j-invariant |
L |
11.024514850371 |
L(r)(E,1)/r! |
Ω |
0.64745906128465 |
Real period |
R |
0.23649103235493 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999959 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12540h1 |
Quadratic twists by: 5 |