Atkin-Lehner |
2+ 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
118080bm |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-765905625000000 = -1 · 26 · 36 · 510 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -4 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,10797,1259548] |
[a1,a2,a3,a4,a6] |
Generators |
[392844:6795217:1728] |
Generators of the group modulo torsion |
j |
2983496371136/16416015625 |
j-invariant |
L |
6.4732747671615 |
L(r)(E,1)/r! |
Ω |
0.3643099543792 |
Real period |
R |
8.8842957667941 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999940946 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118080bp1 59040ca2 13120r1 |
Quadratic twists by: -4 8 -3 |