Atkin-Lehner |
2+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
68800j |
Isogeny class |
Conductor |
68800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
37440 |
Modular degree for the optimal curve |
Δ |
-26875000000 = -1 · 26 · 510 · 43 |
Discriminant |
Eigenvalues |
2+ 2 5+ 2 3 -1 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,417,7037] |
[a1,a2,a3,a4,a6] |
Generators |
[-5699484:18534457:531441] |
Generators of the group modulo torsion |
j |
12800/43 |
j-invariant |
L |
10.2412133914 |
L(r)(E,1)/r! |
Ω |
0.84054844225213 |
Real period |
R |
12.18396570148 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000555 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68800bm1 34400bg1 68800cn1 |
Quadratic twists by: -4 8 5 |