Atkin-Lehner |
2- 3+ 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
108780j |
Isogeny class |
Conductor |
108780 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
62197590949200 = 24 · 36 · 52 · 78 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12021,-332730] |
[a1,a2,a3,a4,a6] |
Generators |
[-79:343:1] [-57:405:1] |
Generators of the group modulo torsion |
j |
102064193536/33041925 |
j-invariant |
L |
8.9113719109692 |
L(r)(E,1)/r! |
Ω |
0.4676730436597 |
Real period |
R |
1.5878920880517 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001237 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15540i1 |
Quadratic twists by: -7 |