Atkin-Lehner |
2+ 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
111600bj |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
602112 |
Modular degree for the optimal curve |
Δ |
-7907842080000000 = -1 · 211 · 313 · 57 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 -3 6 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-57675,-6835750] |
[a1,a2,a3,a4,a6] |
Generators |
[865:24300:1] |
Generators of the group modulo torsion |
j |
-909513218/338985 |
j-invariant |
L |
6.5083909874019 |
L(r)(E,1)/r! |
Ω |
0.15122539122896 |
Real period |
R |
0.67246385448755 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999701004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55800bq1 37200d1 22320q1 |
Quadratic twists by: -4 -3 5 |